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Finding the Fourth Proportional to 564,865.97, 779,514.08 and 310,217.16

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Solution

The fourth proportional to 564,865.97, 779,514.08 and 310,217.16 is: 428,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,865.97 : 779,514.08 = 310,217.16 : x
  2. Step 2: Convert to fraction form
    564,865.97/779,514.08 = 310,217.16/x
  3. Step 3: Cross multiply
    564,865.97x = 779,514.08 × 310,217.16
  4. Step 4: Simplify right side
    564,865.97x = 241,818,642,526.53
  5. Step 5: Solve for x
    x = 241,818,642,526.53/564,865.97
  6. Step 6: Final answer
    x = 428,099.15

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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.