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Finding the Fourth Proportional to 506,184.31, 698,672.96 and 315,084.25

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Solution

The fourth proportional to 506,184.31, 698,672.96 and 315,084.25 is: 434,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,184.31 : 698,672.96 = 315,084.25 : x
  2. Step 2: Convert to fraction form
    506,184.31/698,672.96 = 315,084.25/x
  3. Step 3: Cross multiply
    506,184.31x = 698,672.96 × 315,084.25
  4. Step 4: Simplify right side
    506,184.31x = 220,140,845,596.88
  5. Step 5: Solve for x
    x = 220,140,845,596.88/506,184.31
  6. Step 6: Final answer
    x = 434,902.55

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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.