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Finding the Fourth Proportional to 310,458.86, 465,691.17 and 123,518.06

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Solution

The fourth proportional to 310,458.86, 465,691.17 and 123,518.06 is: 185,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,458.86 : 465,691.17 = 123,518.06 : x
  2. Step 2: Convert to fraction form
    310,458.86/465,691.17 = 123,518.06/x
  3. Step 3: Cross multiply
    310,458.86x = 465,691.17 × 123,518.06
  4. Step 4: Simplify right side
    310,458.86x = 57,521,269,877.53
  5. Step 5: Solve for x
    x = 57,521,269,877.53/310,458.86
  6. Step 6: Final answer
    x = 185,278.24

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1.5x scale

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.