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Finding the Fourth Proportional to 402,287.50, 603,431.25 and 102,768.74

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Solution

The fourth proportional to 402,287.50, 603,431.25 and 102,768.74 is: 154,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,287.50 : 603,431.25 = 102,768.74 : x
  2. Step 2: Convert to fraction form
    402,287.50/603,431.25 = 102,768.74/x
  3. Step 3: Cross multiply
    402,287.50x = 603,431.25 × 102,768.74
  4. Step 4: Simplify right side
    402,287.50x = 62,013,869,239.13
  5. Step 5: Solve for x
    x = 62,013,869,239.13/402,287.50
  6. Step 6: Final answer
    x = 154,153.11

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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.