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Finding the Fourth Proportional to 420,874.76, 631,345.08 and 140,391.74

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Solution

The fourth proportional to 420,874.76, 631,345.08 and 140,391.74 is: 210,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,874.76 : 631,345.08 = 140,391.74 : x
  2. Step 2: Convert to fraction form
    420,874.76/631,345.08 = 140,391.74/x
  3. Step 3: Cross multiply
    420,874.76x = 631,345.08 × 140,391.74
  4. Step 4: Simplify right side
    420,874.76x = 88,635,634,321.64
  5. Step 5: Solve for x
    x = 88,635,634,321.64/420,874.76
  6. Step 6: Final answer
    x = 210,598.60

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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.