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Finding the Fourth Proportional to 610,158, 842,018.28 and 371,694

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Solution

The fourth proportional to 610,158, 842,018.28 and 371,694 is: 512,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,158 : 842,018.28 = 371,694 : x
  2. Step 2: Convert to fraction form
    610,158/842,018.28 = 371,694/x
  3. Step 3: Cross multiply
    610,158x = 842,018.28 × 371,694
  4. Step 4: Simplify right side
    610,158x = 312,973,142,566.32
  5. Step 5: Solve for x
    x = 312,973,142,566.32/610,158
  6. Step 6: Final answer
    x = 512,937.87

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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.