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Finding the Fourth Proportional to 495,957.84, 684,407.52 and 281,117.76

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Solution

The fourth proportional to 495,957.84, 684,407.52 and 281,117.76 is: 387,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,957.84 : 684,407.52 = 281,117.76 : x
  2. Step 2: Convert to fraction form
    495,957.84/684,407.52 = 281,117.76/x
  3. Step 3: Cross multiply
    495,957.84x = 684,407.52 × 281,117.76
  4. Step 4: Simplify right side
    495,957.84x = 192,399,108,949.56
  5. Step 5: Solve for x
    x = 192,399,108,949.56/495,957.84
  6. Step 6: Final answer
    x = 387,934.40

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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.