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Finding the Fourth Proportional to 540,408.62, 745,766.84 and 295,393.71

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Solution

The fourth proportional to 540,408.62, 745,766.84 and 295,393.71 is: 407,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,408.62 : 745,766.84 = 295,393.71 : x
  2. Step 2: Convert to fraction form
    540,408.62/745,766.84 = 295,393.71/x
  3. Step 3: Cross multiply
    540,408.62x = 745,766.84 × 295,393.71
  4. Step 4: Simplify right side
    540,408.62x = 220,294,832,185.61
  5. Step 5: Solve for x
    x = 220,294,832,185.61/540,408.62
  6. Step 6: Final answer
    x = 407,644.92

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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.