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Finding the Fourth Proportional to 402,629, 604,140.32 and 285,055.88

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Solution

The fourth proportional to 402,629, 604,140.32 and 285,055.88 is: 427,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,629 : 604,140.32 = 285,055.88 : x
  2. Step 2: Convert to fraction form
    402,629/604,140.32 = 285,055.88/x
  3. Step 3: Cross multiply
    402,629x = 604,140.32 × 285,055.88
  4. Step 4: Simplify right side
    402,629x = 172,213,750,561.08
  5. Step 5: Solve for x
    x = 172,213,750,561.08/402,629
  6. Step 6: Final answer
    x = 427,723.17

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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.