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Finding the Fourth Proportional to 382,710.94, 528,214.20 and 253,421.38

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Solution

The fourth proportional to 382,710.94, 528,214.20 and 253,421.38 is: 349,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,710.94 : 528,214.20 = 253,421.38 : x
  2. Step 2: Convert to fraction form
    382,710.94/528,214.20 = 253,421.38/x
  3. Step 3: Cross multiply
    382,710.94x = 528,214.20 × 253,421.38
  4. Step 4: Simplify right side
    382,710.94x = 133,860,771,499.60
  5. Step 5: Solve for x
    x = 133,860,771,499.60/382,710.94
  6. Step 6: Final answer
    x = 349,769.91

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.