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Finding the Fourth Proportional to 495,490.34, 683,776.08 and 280,671.84

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Solution

The fourth proportional to 495,490.34, 683,776.08 and 280,671.84 is: 387,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,490.34 : 683,776.08 = 280,671.84 : x
  2. Step 2: Convert to fraction form
    495,490.34/683,776.08 = 280,671.84/x
  3. Step 3: Cross multiply
    495,490.34x = 683,776.08 × 280,671.84
  4. Step 4: Simplify right side
    495,490.34x = 191,916,690,521.59
  5. Step 5: Solve for x
    x = 191,916,690,521.59/495,490.34
  6. Step 6: Final answer
    x = 387,326.81

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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.