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Finding the Fourth Proportional to 312,488.13, 431,233.64 and 169,248.18

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Solution

The fourth proportional to 312,488.13, 431,233.64 and 169,248.18 is: 233,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,488.13 : 431,233.64 = 169,248.18 : x
  2. Step 2: Convert to fraction form
    312,488.13/431,233.64 = 169,248.18/x
  3. Step 3: Cross multiply
    312,488.13x = 431,233.64 × 169,248.18
  4. Step 4: Simplify right side
    312,488.13x = 72,985,507,878.53
  5. Step 5: Solve for x
    x = 72,985,507,878.53/312,488.13
  6. Step 6: Final answer
    x = 233,562.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.