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Finding the Fourth Proportional to 420,880.80, 631,354.08 and 140,397.76

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Solution

The fourth proportional to 420,880.80, 631,354.08 and 140,397.76 is: 210,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,880.80 : 631,354.08 = 140,397.76 : x
  2. Step 2: Convert to fraction form
    420,880.80/631,354.08 = 140,397.76/x
  3. Step 3: Cross multiply
    420,880.80x = 631,354.08 × 140,397.76
  4. Step 4: Simplify right side
    420,880.80x = 88,640,698,598.86
  5. Step 5: Solve for x
    x = 88,640,698,598.86/420,880.80
  6. Step 6: Final answer
    x = 210,607.61

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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.