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Finding the Fourth Proportional to 437,546.10, 656,319.15 and 400,148.40

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Solution

The fourth proportional to 437,546.10, 656,319.15 and 400,148.40 is: 600,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,546.10 : 656,319.15 = 400,148.40 : x
  2. Step 2: Convert to fraction form
    437,546.10/656,319.15 = 400,148.40/x
  3. Step 3: Cross multiply
    437,546.10x = 656,319.15 × 400,148.40
  4. Step 4: Simplify right side
    437,546.10x = 262,625,057,761.86
  5. Step 5: Solve for x
    x = 262,625,057,761.86/437,546.10
  6. Step 6: Final answer
    x = 600,222.60

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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.