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Finding the Fourth Proportional to 420,166.80, 630,154.08 and 120,645

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Solution

The fourth proportional to 420,166.80, 630,154.08 and 120,645 is: 180,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,166.80 : 630,154.08 = 120,645 : x
  2. Step 2: Convert to fraction form
    420,166.80/630,154.08 = 120,645/x
  3. Step 3: Cross multiply
    420,166.80x = 630,154.08 × 120,645
  4. Step 4: Simplify right side
    420,166.80x = 76,024,938,981.60
  5. Step 5: Solve for x
    x = 76,024,938,981.60/420,166.80
  6. Step 6: Final answer
    x = 180,939.90

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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.