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Finding the Fourth Proportional to 429,535.87, 592,773.06 and 257,397.10

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Solution

The fourth proportional to 429,535.87, 592,773.06 and 257,397.10 is: 355,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,535.87 : 592,773.06 = 257,397.10 : x
  2. Step 2: Convert to fraction form
    429,535.87/592,773.06 = 257,397.10/x
  3. Step 3: Cross multiply
    429,535.87x = 592,773.06 × 257,397.10
  4. Step 4: Simplify right side
    429,535.87x = 152,578,066,602.13
  5. Step 5: Solve for x
    x = 152,578,066,602.13/429,535.87
  6. Step 6: Final answer
    x = 355,216.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.