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Finding the Fourth Proportional to 257,854.24, 386,897.38 and 139,386.88

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Solution

The fourth proportional to 257,854.24, 386,897.38 and 139,386.88 is: 209,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.24 : 386,897.38 = 139,386.88 : x
  2. Step 2: Convert to fraction form
    257,854.24/386,897.38 = 139,386.88/x
  3. Step 3: Cross multiply
    257,854.24x = 386,897.38 × 139,386.88
  4. Step 4: Simplify right side
    257,854.24x = 53,928,418,678.37
  5. Step 5: Solve for x
    x = 53,928,418,678.37/257,854.24
  6. Step 6: Final answer
    x = 209,143.04

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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.