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Finding the Fourth Proportional to 298,377, 447,565.50 and 101,385

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Solution

The fourth proportional to 298,377, 447,565.50 and 101,385 is: 152,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,377 : 447,565.50 = 101,385 : x
  2. Step 2: Convert to fraction form
    298,377/447,565.50 = 101,385/x
  3. Step 3: Cross multiply
    298,377x = 447,565.50 × 101,385
  4. Step 4: Simplify right side
    298,377x = 45,376,428,217.50
  5. Step 5: Solve for x
    x = 45,376,428,217.50/298,377
  6. Step 6: Final answer
    x = 152,077.50

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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.