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Finding the Fourth Proportional to 667,155.74, 920,671.02 and 361,225.82

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Solution

The fourth proportional to 667,155.74, 920,671.02 and 361,225.82 is: 498,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,155.74 : 920,671.02 = 361,225.82 : x
  2. Step 2: Convert to fraction form
    667,155.74/920,671.02 = 361,225.82/x
  3. Step 3: Cross multiply
    667,155.74x = 920,671.02 × 361,225.82
  4. Step 4: Simplify right side
    667,155.74x = 332,570,144,026.16
  5. Step 5: Solve for x
    x = 332,570,144,026.16/667,155.74
  6. Step 6: Final answer
    x = 498,489.52

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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.