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Finding the Fourth Proportional to 495,713.09, 684,082.39 and 280,894.10

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Solution

The fourth proportional to 495,713.09, 684,082.39 and 280,894.10 is: 387,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,713.09 : 684,082.39 = 280,894.10 : x
  2. Step 2: Convert to fraction form
    495,713.09/684,082.39 = 280,894.10/x
  3. Step 3: Cross multiply
    495,713.09x = 684,082.39 × 280,894.10
  4. Step 4: Simplify right side
    495,713.09x = 192,154,707,264.90
  5. Step 5: Solve for x
    x = 192,154,707,264.90/495,713.09
  6. Step 6: Final answer
    x = 387,632.91

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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.