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Finding the Fourth Proportional to 540,318.84, 745,618.92 and 310,950

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Solution

The fourth proportional to 540,318.84, 745,618.92 and 310,950 is: 429,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,318.84 : 745,618.92 = 310,950 : x
  2. Step 2: Convert to fraction form
    540,318.84/745,618.92 = 310,950/x
  3. Step 3: Cross multiply
    540,318.84x = 745,618.92 × 310,950
  4. Step 4: Simplify right side
    540,318.84x = 231,850,203,174
  5. Step 5: Solve for x
    x = 231,850,203,174/540,318.84
  6. Step 6: Final answer
    x = 429,098.87

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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.