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Finding the Fourth Proportional to 506,441.64, 698,877.54 and 280,082.28

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Solution

The fourth proportional to 506,441.64, 698,877.54 and 280,082.28 is: 386,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,441.64 : 698,877.54 = 280,082.28 : x
  2. Step 2: Convert to fraction form
    506,441.64/698,877.54 = 280,082.28/x
  3. Step 3: Cross multiply
    506,441.64x = 698,877.54 × 280,082.28
  4. Step 4: Simplify right side
    506,441.64x = 195,743,214,843.99
  5. Step 5: Solve for x
    x = 195,743,214,843.99/506,441.64
  6. Step 6: Final answer
    x = 386,506.95

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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.