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Finding the Fourth Proportional to 416,901, 625,386.06 and 121,413

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Solution

The fourth proportional to 416,901, 625,386.06 and 121,413 is: 182,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,901 : 625,386.06 = 121,413 : x
  2. Step 2: Convert to fraction form
    416,901/625,386.06 = 121,413/x
  3. Step 3: Cross multiply
    416,901x = 625,386.06 × 121,413
  4. Step 4: Simplify right side
    416,901x = 75,929,997,702.78
  5. Step 5: Solve for x
    x = 75,929,997,702.78/416,901
  6. Step 6: Final answer
    x = 182,129.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.