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Finding the Fourth Proportional to 610,659, 842,709.42 and 342,387

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Solution

The fourth proportional to 610,659, 842,709.42 and 342,387 is: 472,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,659 : 842,709.42 = 342,387 : x
  2. Step 2: Convert to fraction form
    610,659/842,709.42 = 342,387/x
  3. Step 3: Cross multiply
    610,659x = 842,709.42 × 342,387
  4. Step 4: Simplify right side
    610,659x = 288,532,750,185.54
  5. Step 5: Solve for x
    x = 288,532,750,185.54/610,659
  6. Step 6: Final answer
    x = 472,494.06

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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.