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Finding the Fourth Proportional to 402,627, 604,137.32 and 285,053.88

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Solution

The fourth proportional to 402,627, 604,137.32 and 285,053.88 is: 427,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,627 : 604,137.32 = 285,053.88 : x
  2. Step 2: Convert to fraction form
    402,627/604,137.32 = 285,053.88/x
  3. Step 3: Cross multiply
    402,627x = 604,137.32 × 285,053.88
  4. Step 4: Simplify right side
    402,627x = 172,211,687,118.80
  5. Step 5: Solve for x
    x = 172,211,687,118.80/402,627
  6. Step 6: Final answer
    x = 427,720.17

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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.