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Finding the Fourth Proportional to 610,418, 842,376.84 and 342,146

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Solution

The fourth proportional to 610,418, 842,376.84 and 342,146 is: 472,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,418 : 842,376.84 = 342,146 : x
  2. Step 2: Convert to fraction form
    610,418/842,376.84 = 342,146/x
  3. Step 3: Cross multiply
    610,418x = 842,376.84 × 342,146
  4. Step 4: Simplify right side
    610,418x = 288,215,866,298.64
  5. Step 5: Solve for x
    x = 288,215,866,298.64/610,418
  6. Step 6: Final answer
    x = 472,161.48

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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.