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Finding the Fourth Proportional to 610,150, 842,007.24 and 371,686

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Solution

The fourth proportional to 610,150, 842,007.24 and 371,686 is: 512,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,150 : 842,007.24 = 371,686 : x
  2. Step 2: Convert to fraction form
    610,150/842,007.24 = 371,686/x
  3. Step 3: Cross multiply
    610,150x = 842,007.24 × 371,686
  4. Step 4: Simplify right side
    610,150x = 312,962,303,006.64
  5. Step 5: Solve for x
    x = 312,962,303,006.64/610,150
  6. Step 6: Final answer
    x = 512,926.83

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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.