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Finding the Fourth Proportional to 255,425.70, 382,482.45 and 202,500.30

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Solution

The fourth proportional to 255,425.70, 382,482.45 and 202,500.30 is: 303,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,425.70 : 382,482.45 = 202,500.30 : x
  2. Step 2: Convert to fraction form
    255,425.70/382,482.45 = 202,500.30/x
  3. Step 3: Cross multiply
    255,425.70x = 382,482.45 × 202,500.30
  4. Step 4: Simplify right side
    255,425.70x = 77,452,810,869.74
  5. Step 5: Solve for x
    x = 77,452,810,869.74/255,425.70
  6. Step 6: Final answer
    x = 303,230.30

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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.