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Finding the Fourth Proportional to 206,461.38, 309,482.91 and 139,908.24

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Solution

The fourth proportional to 206,461.38, 309,482.91 and 139,908.24 is: 209,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,461.38 : 309,482.91 = 139,908.24 : x
  2. Step 2: Convert to fraction form
    206,461.38/309,482.91 = 139,908.24/x
  3. Step 3: Cross multiply
    206,461.38x = 309,482.91 × 139,908.24
  4. Step 4: Simplify right side
    206,461.38x = 43,299,209,248.18
  5. Step 5: Solve for x
    x = 43,299,209,248.18/206,461.38
  6. Step 6: Final answer
    x = 209,720.62

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1.5x scale

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.