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Finding the Fourth Proportional to 495,711.60, 684,082.71 and 280,866.21

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Solution

The fourth proportional to 495,711.60, 684,082.71 and 280,866.21 is: 387,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,711.60 : 684,082.71 = 280,866.21 : x
  2. Step 2: Convert to fraction form
    495,711.60/684,082.71 = 280,866.21/x
  3. Step 3: Cross multiply
    495,711.60x = 684,082.71 × 280,866.21
  4. Step 4: Simplify right side
    495,711.60x = 192,135,718,084.23
  5. Step 5: Solve for x
    x = 192,135,718,084.23/495,711.60
  6. Step 6: Final answer
    x = 387,595.77

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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.