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Finding the Fourth Proportional to 702,947.52, 970,065.83 and 380,657.62

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Solution

The fourth proportional to 702,947.52, 970,065.83 and 380,657.62 is: 525,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947.52 : 970,065.83 = 380,657.62 : x
  2. Step 2: Convert to fraction form
    702,947.52/970,065.83 = 380,657.62/x
  3. Step 3: Cross multiply
    702,947.52x = 970,065.83 × 380,657.62
  4. Step 4: Simplify right side
    702,947.52x = 369,262,950,091.13
  5. Step 5: Solve for x
    x = 369,262,950,091.13/702,947.52
  6. Step 6: Final answer
    x = 525,306.57

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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.