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Finding the Fourth Proportional to 703,047.30, 970,206.05 and 380,757.76

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Solution

The fourth proportional to 703,047.30, 970,206.05 and 380,757.76 is: 525,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,047.30 : 970,206.05 = 380,757.76 : x
  2. Step 2: Convert to fraction form
    703,047.30/970,206.05 = 380,757.76/x
  3. Step 3: Cross multiply
    703,047.30x = 970,206.05 × 380,757.76
  4. Step 4: Simplify right side
    703,047.30x = 369,413,486,320.24
  5. Step 5: Solve for x
    x = 369,413,486,320.24/703,047.30
  6. Step 6: Final answer
    x = 525,446.14

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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.