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Finding the Fourth Proportional to 495,785.76, 684,182.64 and 280,966.80

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Solution

The fourth proportional to 495,785.76, 684,182.64 and 280,966.80 is: 387,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,785.76 : 684,182.64 = 280,966.80 : x
  2. Step 2: Convert to fraction form
    495,785.76/684,182.64 = 280,966.80/x
  3. Step 3: Cross multiply
    495,785.76x = 684,182.64 × 280,966.80
  4. Step 4: Simplify right side
    495,785.76x = 192,232,606,976.35
  5. Step 5: Solve for x
    x = 192,232,606,976.35/495,785.76
  6. Step 6: Final answer
    x = 387,733.22

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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.