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Finding the Fourth Proportional to 689,532, 1,034,647.92 and 315,648.96

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Solution

The fourth proportional to 689,532, 1,034,647.92 and 315,648.96 is: 473,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,532 : 1,034,647.92 = 315,648.96 : x
  2. Step 2: Convert to fraction form
    689,532/1,034,647.92 = 315,648.96/x
  3. Step 3: Cross multiply
    689,532x = 1,034,647.92 × 315,648.96
  4. Step 4: Simplify right side
    689,532x = 326,585,539,914.16
  5. Step 5: Solve for x
    x = 326,585,539,914.16/689,532
  6. Step 6: Final answer
    x = 473,633.62

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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.