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Finding the Fourth Proportional to 495,885.78, 684,308 and 281,045.70

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Solution

The fourth proportional to 495,885.78, 684,308 and 281,045.70 is: 387,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,885.78 : 684,308 = 281,045.70 : x
  2. Step 2: Convert to fraction form
    495,885.78/684,308 = 281,045.70/x
  3. Step 3: Cross multiply
    495,885.78x = 684,308 × 281,045.70
  4. Step 4: Simplify right side
    495,885.78x = 192,321,820,875.60
  5. Step 5: Solve for x
    x = 192,321,820,875.60/495,885.78
  6. Step 6: Final answer
    x = 387,834.92

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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.