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Finding the Fourth Proportional to 257,417.06, 386,120 and 70,428.56

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Solution

The fourth proportional to 257,417.06, 386,120 and 70,428.56 is: 105,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,417.06 : 386,120 = 70,428.56 : x
  2. Step 2: Convert to fraction form
    257,417.06/386,120 = 70,428.56/x
  3. Step 3: Cross multiply
    257,417.06x = 386,120 × 70,428.56
  4. Step 4: Simplify right side
    257,417.06x = 27,193,875,587.20
  5. Step 5: Solve for x
    x = 27,193,875,587.20/257,417.06
  6. Step 6: Final answer
    x = 105,641.31

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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.