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Finding the Fourth Proportional to 292,407.46, 438,257.76 and 142,423

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Solution

The fourth proportional to 292,407.46, 438,257.76 and 142,423 is: 213,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,407.46 : 438,257.76 = 142,423 : x
  2. Step 2: Convert to fraction form
    292,407.46/438,257.76 = 142,423/x
  3. Step 3: Cross multiply
    292,407.46x = 438,257.76 × 142,423
  4. Step 4: Simplify right side
    292,407.46x = 62,417,984,952.48
  5. Step 5: Solve for x
    x = 62,417,984,952.48/292,407.46
  6. Step 6: Final answer
    x = 213,462.35

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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.