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Finding the Fourth Proportional to 702,342.50, 969,235.22 and 380,052.61

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Solution

The fourth proportional to 702,342.50, 969,235.22 and 380,052.61 is: 524,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,342.50 : 969,235.22 = 380,052.61 : x
  2. Step 2: Convert to fraction form
    702,342.50/969,235.22 = 380,052.61/x
  3. Step 3: Cross multiply
    702,342.50x = 969,235.22 × 380,052.61
  4. Step 4: Simplify right side
    702,342.50x = 368,360,371,454.17
  5. Step 5: Solve for x
    x = 368,360,371,454.17/702,342.50
  6. Step 6: Final answer
    x = 524,473.99

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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.