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Finding the Fourth Proportional to 429,203.85, 592,363.02 and 257,129.17

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Solution

The fourth proportional to 429,203.85, 592,363.02 and 257,129.17 is: 354,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,203.85 : 592,363.02 = 257,129.17 : x
  2. Step 2: Convert to fraction form
    429,203.85/592,363.02 = 257,129.17/x
  3. Step 3: Cross multiply
    429,203.85x = 592,363.02 × 257,129.17
  4. Step 4: Simplify right side
    429,203.85x = 152,313,810,385.65
  5. Step 5: Solve for x
    x = 152,313,810,385.65/429,203.85
  6. Step 6: Final answer
    x = 354,875.22

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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.