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Finding the Fourth Proportional to 472,702.44, 709,053.30 and 140,278.44

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Solution

The fourth proportional to 472,702.44, 709,053.30 and 140,278.44 is: 210,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,702.44 : 709,053.30 = 140,278.44 : x
  2. Step 2: Convert to fraction form
    472,702.44/709,053.30 = 140,278.44/x
  3. Step 3: Cross multiply
    472,702.44x = 709,053.30 × 140,278.44
  4. Step 4: Simplify right side
    472,702.44x = 99,464,890,800.85
  5. Step 5: Solve for x
    x = 99,464,890,800.85/472,702.44
  6. Step 6: Final answer
    x = 210,417.55

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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.