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Finding the Fourth Proportional to 564,713.38, 779,315.61 and 310,062.34

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Solution

The fourth proportional to 564,713.38, 779,315.61 and 310,062.34 is: 427,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,713.38 : 779,315.61 = 310,062.34 : x
  2. Step 2: Convert to fraction form
    564,713.38/779,315.61 = 310,062.34/x
  3. Step 3: Cross multiply
    564,713.38x = 779,315.61 × 310,062.34
  4. Step 4: Simplify right side
    564,713.38x = 241,636,421,635.13
  5. Step 5: Solve for x
    x = 241,636,421,635.13/564,713.38
  6. Step 6: Final answer
    x = 427,892.15

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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.