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Finding the Fourth Proportional to 610,417, 842,375.46 and 342,145

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Solution

The fourth proportional to 610,417, 842,375.46 and 342,145 is: 472,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,417 : 842,375.46 = 342,145 : x
  2. Step 2: Convert to fraction form
    610,417/842,375.46 = 342,145/x
  3. Step 3: Cross multiply
    610,417x = 842,375.46 × 342,145
  4. Step 4: Simplify right side
    610,417x = 288,214,551,761.70
  5. Step 5: Solve for x
    x = 288,214,551,761.70/610,417
  6. Step 6: Final answer
    x = 472,160.10

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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.