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Finding the Fourth Proportional to 564,849.50, 779,505.86 and 310,206.15

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Solution

The fourth proportional to 564,849.50, 779,505.86 and 310,206.15 is: 428,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,849.50 : 779,505.86 = 310,206.15 : x
  2. Step 2: Convert to fraction form
    564,849.50/779,505.86 = 310,206.15/x
  3. Step 3: Cross multiply
    564,849.50x = 779,505.86 × 310,206.15
  4. Step 4: Simplify right side
    564,849.50x = 241,807,512,508.55
  5. Step 5: Solve for x
    x = 241,807,512,508.55/564,849.50
  6. Step 6: Final answer
    x = 428,091.93

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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.