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Finding the Fourth Proportional to 380,613.47, 570,920.00 and 355,390.82

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Solution

The fourth proportional to 380,613.47, 570,920.00 and 355,390.82 is: 533,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,613.47 : 570,920.00 = 355,390.82 : x
  2. Step 2: Convert to fraction form
    380,613.47/570,920.00 = 355,390.82/x
  3. Step 3: Cross multiply
    380,613.47x = 570,920.00 × 355,390.82
  4. Step 4: Simplify right side
    380,613.47x = 202,899,724,988.28
  5. Step 5: Solve for x
    x = 202,899,724,988.28/380,613.47
  6. Step 6: Final answer
    x = 533,086.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.