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Finding the Fourth Proportional to 312,008.13, 468,082.65 and 98,788.98

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Solution

The fourth proportional to 312,008.13, 468,082.65 and 98,788.98 is: 148,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,008.13 : 468,082.65 = 98,788.98 : x
  2. Step 2: Convert to fraction form
    312,008.13/468,082.65 = 98,788.98/x
  3. Step 3: Cross multiply
    312,008.13x = 468,082.65 × 98,788.98
  4. Step 4: Simplify right side
    312,008.13x = 46,241,407,549.20
  5. Step 5: Solve for x
    x = 46,241,407,549.20/312,008.13
  6. Step 6: Final answer
    x = 148,205.78

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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.