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Finding the Fourth Proportional to 564,715.38, 779,318.38 and 310,064.34

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Solution

The fourth proportional to 564,715.38, 779,318.38 and 310,064.34 is: 427,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,715.38 : 779,318.38 = 310,064.34 : x
  2. Step 2: Convert to fraction form
    564,715.38/779,318.38 = 310,064.34/x
  3. Step 3: Cross multiply
    564,715.38x = 779,318.38 × 310,064.34
  4. Step 4: Simplify right side
    564,715.38x = 241,638,839,144.57
  5. Step 5: Solve for x
    x = 241,638,839,144.57/564,715.38
  6. Step 6: Final answer
    x = 427,894.91

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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.