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Finding the Fourth Proportional to 456,869.13, 630,471.84 and 252,915.86

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Solution

The fourth proportional to 456,869.13, 630,471.84 and 252,915.86 is: 349,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,869.13 : 630,471.84 = 252,915.86 : x
  2. Step 2: Convert to fraction form
    456,869.13/630,471.84 = 252,915.86/x
  3. Step 3: Cross multiply
    456,869.13x = 630,471.84 × 252,915.86
  4. Step 4: Simplify right side
    456,869.13x = 159,456,324,467.02
  5. Step 5: Solve for x
    x = 159,456,324,467.02/456,869.13
  6. Step 6: Final answer
    x = 349,019.70

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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.