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Finding the Fourth Proportional to 646,737.60, 892,525.32 and 360,257.76

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Solution

The fourth proportional to 646,737.60, 892,525.32 and 360,257.76 is: 497,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,737.60 : 892,525.32 = 360,257.76 : x
  2. Step 2: Convert to fraction form
    646,737.60/892,525.32 = 360,257.76/x
  3. Step 3: Cross multiply
    646,737.60x = 892,525.32 × 360,257.76
  4. Step 4: Simplify right side
    646,737.60x = 321,539,172,526.48
  5. Step 5: Solve for x
    x = 321,539,172,526.48/646,737.60
  6. Step 6: Final answer
    x = 497,170.99

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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.