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Finding the Fourth Proportional to 843,382, 1,265,247.96 and 344,746

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Solution

The fourth proportional to 843,382, 1,265,247.96 and 344,746 is: 517,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,382 : 1,265,247.96 = 344,746 : x
  2. Step 2: Convert to fraction form
    843,382/1,265,247.96 = 344,746/x
  3. Step 3: Cross multiply
    843,382x = 1,265,247.96 × 344,746
  4. Step 4: Simplify right side
    843,382x = 436,189,173,218.16
  5. Step 5: Solve for x
    x = 436,189,173,218.16/843,382
  6. Step 6: Final answer
    x = 517,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.