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Finding the Fourth Proportional to 472,112.77, 708,378.50 and 247,419.85

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Solution

The fourth proportional to 472,112.77, 708,378.50 and 247,419.85 is: 371,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,112.77 : 708,378.50 = 247,419.85 : x
  2. Step 2: Convert to fraction form
    472,112.77/708,378.50 = 247,419.85/x
  3. Step 3: Cross multiply
    472,112.77x = 708,378.50 × 247,419.85
  4. Step 4: Simplify right side
    472,112.77x = 175,266,902,213.23
  5. Step 5: Solve for x
    x = 175,266,902,213.23/472,112.77
  6. Step 6: Final answer
    x = 371,239.49

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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.