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Finding the Fourth Proportional to 413,502,299.40, 619,878,034.17 and 206,304,082.32

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Solution

The fourth proportional to 413,502,299.40, 619,878,034.17 and 206,304,082.32 is: 309,268,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,502,299.40 : 619,878,034.17 = 206,304,082.32 : x
  2. Step 2: Convert to fraction form
    413,502,299.40/619,878,034.17 = 206,304,082.32/x
  3. Step 3: Cross multiply
    413,502,299.40x = 619,878,034.17 × 206,304,082.32
  4. Step 4: Simplify right side
    413,502,299.40x = 127,883,368,989,767,440
  5. Step 5: Solve for x
    x = 127,883,368,989,767,440/413,502,299.40
  6. Step 6: Final answer
    x = 309,268,821.90

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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.