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Finding the Fourth Proportional to 703,068.31, 970,233.96 and 380,778.40

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Solution

The fourth proportional to 703,068.31, 970,233.96 and 380,778.40 is: 525,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,068.31 : 970,233.96 = 380,778.40 : x
  2. Step 2: Convert to fraction form
    703,068.31/970,233.96 = 380,778.40/x
  3. Step 3: Cross multiply
    703,068.31x = 970,233.96 × 380,778.40
  4. Step 4: Simplify right side
    703,068.31x = 369,444,134,914.46
  5. Step 5: Solve for x
    x = 369,444,134,914.46/703,068.31
  6. Step 6: Final answer
    x = 525,474.03

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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.