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Finding the Fourth Proportional to 476,640, 715,058.46 and 139,691.70

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Solution

The fourth proportional to 476,640, 715,058.46 and 139,691.70 is: 209,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,640 : 715,058.46 = 139,691.70 : x
  2. Step 2: Convert to fraction form
    476,640/715,058.46 = 139,691.70/x
  3. Step 3: Cross multiply
    476,640x = 715,058.46 × 139,691.70
  4. Step 4: Simplify right side
    476,640x = 99,887,731,876.78
  5. Step 5: Solve for x
    x = 99,887,731,876.78/476,640
  6. Step 6: Final answer
    x = 209,566.41

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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.