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Finding the Fourth Proportional to 257,869.86, 386,804.25 and 145,499.10

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Solution

The fourth proportional to 257,869.86, 386,804.25 and 145,499.10 is: 218,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,869.86 : 386,804.25 = 145,499.10 : x
  2. Step 2: Convert to fraction form
    257,869.86/386,804.25 = 145,499.10/x
  3. Step 3: Cross multiply
    257,869.86x = 386,804.25 × 145,499.10
  4. Step 4: Simplify right side
    257,869.86x = 56,279,670,251.18
  5. Step 5: Solve for x
    x = 56,279,670,251.18/257,869.86
  6. Step 6: Final answer
    x = 218,248.35

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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.