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Finding the Fourth Proportional to 495,114.60, 742,671.90 and 317,821.80

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Solution

The fourth proportional to 495,114.60, 742,671.90 and 317,821.80 is: 476,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,114.60 : 742,671.90 = 317,821.80 : x
  2. Step 2: Convert to fraction form
    495,114.60/742,671.90 = 317,821.80/x
  3. Step 3: Cross multiply
    495,114.60x = 742,671.90 × 317,821.80
  4. Step 4: Simplify right side
    495,114.60x = 236,037,320,067.42
  5. Step 5: Solve for x
    x = 236,037,320,067.42/495,114.60
  6. Step 6: Final answer
    x = 476,732.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.