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Finding the Fourth Proportional to 429,395.56, 592,592.70 and 248,140.78

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Solution

The fourth proportional to 429,395.56, 592,592.70 and 248,140.78 is: 342,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,395.56 : 592,592.70 = 248,140.78 : x
  2. Step 2: Convert to fraction form
    429,395.56/592,592.70 = 248,140.78/x
  3. Step 3: Cross multiply
    429,395.56x = 592,592.70 × 248,140.78
  4. Step 4: Simplify right side
    429,395.56x = 147,046,414,800.31
  5. Step 5: Solve for x
    x = 147,046,414,800.31/429,395.56
  6. Step 6: Final answer
    x = 342,449.78

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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.