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Finding the Fourth Proportional to 495,743.55, 684,250.52 and 281,011.74

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Solution

The fourth proportional to 495,743.55, 684,250.52 and 281,011.74 is: 387,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,743.55 : 684,250.52 = 281,011.74 : x
  2. Step 2: Convert to fraction form
    495,743.55/684,250.52 = 281,011.74/x
  3. Step 3: Cross multiply
    495,743.55x = 684,250.52 × 281,011.74
  4. Step 4: Simplify right side
    495,743.55x = 192,282,427,816.05
  5. Step 5: Solve for x
    x = 192,282,427,816.05/495,743.55
  6. Step 6: Final answer
    x = 387,866.73

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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.