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Finding the Fourth Proportional to 492,978.67, 739,774.19 and 315,612.97

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Solution

The fourth proportional to 492,978.67, 739,774.19 and 315,612.97 is: 473,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,978.67 : 739,774.19 = 315,612.97 : x
  2. Step 2: Convert to fraction form
    492,978.67/739,774.19 = 315,612.97/x
  3. Step 3: Cross multiply
    492,978.67x = 739,774.19 × 315,612.97
  4. Step 4: Simplify right side
    492,978.67x = 233,482,329,235.24
  5. Step 5: Solve for x
    x = 233,482,329,235.24/492,978.67
  6. Step 6: Final answer
    x = 473,615.48

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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.