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Finding the Fourth Proportional to 315,424.87, 473,134.88 and 78,765.97

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Solution

The fourth proportional to 315,424.87, 473,134.88 and 78,765.97 is: 118,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,424.87 : 473,134.88 = 78,765.97 : x
  2. Step 2: Convert to fraction form
    315,424.87/473,134.88 = 78,765.97/x
  3. Step 3: Cross multiply
    315,424.87x = 473,134.88 × 78,765.97
  4. Step 4: Simplify right side
    315,424.87x = 37,266,927,370.20
  5. Step 5: Solve for x
    x = 37,266,927,370.20/315,424.87
  6. Step 6: Final answer
    x = 118,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.