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Finding the Fourth Proportional to 807,281, 1,114,082.34 and 449,585

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Solution

The fourth proportional to 807,281, 1,114,082.34 and 449,585 is: 620,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,281 : 1,114,082.34 = 449,585 : x
  2. Step 2: Convert to fraction form
    807,281/1,114,082.34 = 449,585/x
  3. Step 3: Cross multiply
    807,281x = 1,114,082.34 × 449,585
  4. Step 4: Simplify right side
    807,281x = 500,874,708,828.90
  5. Step 5: Solve for x
    x = 500,874,708,828.90/807,281
  6. Step 6: Final answer
    x = 620,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.