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Finding the Fourth Proportional to 420,206.80, 630,214.08 and 120,685

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Solution

The fourth proportional to 420,206.80, 630,214.08 and 120,685 is: 180,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,206.80 : 630,214.08 = 120,685 : x
  2. Step 2: Convert to fraction form
    420,206.80/630,214.08 = 120,685/x
  3. Step 3: Cross multiply
    420,206.80x = 630,214.08 × 120,685
  4. Step 4: Simplify right side
    420,206.80x = 76,057,386,244.80
  5. Step 5: Solve for x
    x = 76,057,386,244.80/420,206.80
  6. Step 6: Final answer
    x = 180,999.89

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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.