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Finding the Fourth Proportional to 257,424.72, 385,957.84 and 113,260.72

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Solution

The fourth proportional to 257,424.72, 385,957.84 and 113,260.72 is: 169,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424.72 : 385,957.84 = 113,260.72 : x
  2. Step 2: Convert to fraction form
    257,424.72/385,957.84 = 113,260.72/x
  3. Step 3: Cross multiply
    257,424.72x = 385,957.84 × 113,260.72
  4. Step 4: Simplify right side
    257,424.72x = 43,713,862,848.04
  5. Step 5: Solve for x
    x = 43,713,862,848.04/257,424.72
  6. Step 6: Final answer
    x = 169,812.22

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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.