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Finding the Fourth Proportional to 402,087.68, 603,115.32 and 102,575.60

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Solution

The fourth proportional to 402,087.68, 603,115.32 and 102,575.60 is: 153,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,087.68 : 603,115.32 = 102,575.60 : x
  2. Step 2: Convert to fraction form
    402,087.68/603,115.32 = 102,575.60/x
  3. Step 3: Cross multiply
    402,087.68x = 603,115.32 × 102,575.60
  4. Step 4: Simplify right side
    402,087.68x = 61,864,915,818.19
  5. Step 5: Solve for x
    x = 61,864,915,818.19/402,087.68
  6. Step 6: Final answer
    x = 153,859.27

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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.