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Finding the Fourth Proportional to 867,133.78, 1,300,377.17 and 298,354.01

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Solution

The fourth proportional to 867,133.78, 1,300,377.17 and 298,354.01 is: 447,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,133.78 : 1,300,377.17 = 298,354.01 : x
  2. Step 2: Convert to fraction form
    867,133.78/1,300,377.17 = 298,354.01/x
  3. Step 3: Cross multiply
    867,133.78x = 1,300,377.17 × 298,354.01
  4. Step 4: Simplify right side
    867,133.78x = 387,972,737,425.95
  5. Step 5: Solve for x
    x = 387,972,737,425.95/867,133.78
  6. Step 6: Final answer
    x = 447,419.70

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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.