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Finding the Fourth Proportional to 420,763.71, 631,151.15 and 140,281.05

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Solution

The fourth proportional to 420,763.71, 631,151.15 and 140,281.05 is: 210,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,763.71 : 631,151.15 = 140,281.05 : x
  2. Step 2: Convert to fraction form
    420,763.71/631,151.15 = 140,281.05/x
  3. Step 3: Cross multiply
    420,763.71x = 631,151.15 × 140,281.05
  4. Step 4: Simplify right side
    420,763.71x = 88,538,546,030.71
  5. Step 5: Solve for x
    x = 88,538,546,030.71/420,763.71
  6. Step 6: Final answer
    x = 210,423.44

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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.