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Finding the Fourth Proportional to 702,839.72, 969,914.70 and 380,543.15

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Solution

The fourth proportional to 702,839.72, 969,914.70 and 380,543.15 is: 525,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,839.72 : 969,914.70 = 380,543.15 : x
  2. Step 2: Convert to fraction form
    702,839.72/969,914.70 = 380,543.15/x
  3. Step 3: Cross multiply
    702,839.72x = 969,914.70 × 380,543.15
  4. Step 4: Simplify right side
    702,839.72x = 369,094,390,319.73
  5. Step 5: Solve for x
    x = 369,094,390,319.73/702,839.72
  6. Step 6: Final answer
    x = 525,147.32

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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.