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Finding the Fourth Proportional to 312,658.53, 468,938.76 and 99,398.49

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Solution

The fourth proportional to 312,658.53, 468,938.76 and 99,398.49 is: 149,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,658.53 : 468,938.76 = 99,398.49 : x
  2. Step 2: Convert to fraction form
    312,658.53/468,938.76 = 99,398.49/x
  3. Step 3: Cross multiply
    312,658.53x = 468,938.76 × 99,398.49
  4. Step 4: Simplify right side
    312,658.53x = 46,611,804,646.47
  5. Step 5: Solve for x
    x = 46,611,804,646.47/312,658.53
  6. Step 6: Final answer
    x = 149,082.15

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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.