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Finding the Fourth Proportional to 437,752, 656,714.40 and 138,278.80

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Solution

The fourth proportional to 437,752, 656,714.40 and 138,278.80 is: 207,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,752 : 656,714.40 = 138,278.80 : x
  2. Step 2: Convert to fraction form
    437,752/656,714.40 = 138,278.80/x
  3. Step 3: Cross multiply
    437,752x = 656,714.40 × 138,278.80
  4. Step 4: Simplify right side
    437,752x = 90,809,679,174.72
  5. Step 5: Solve for x
    x = 90,809,679,174.72/437,752
  6. Step 6: Final answer
    x = 207,445.49

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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.