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Finding the Fourth Proportional to 416,949, 625,418.40 and 101,406.24

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Solution

The fourth proportional to 416,949, 625,418.40 and 101,406.24 is: 152,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,949 : 625,418.40 = 101,406.24 : x
  2. Step 2: Convert to fraction form
    416,949/625,418.40 = 101,406.24/x
  3. Step 3: Cross multiply
    416,949x = 625,418.40 × 101,406.24
  4. Step 4: Simplify right side
    416,949x = 63,421,328,370.82
  5. Step 5: Solve for x
    x = 63,421,328,370.82/416,949
  6. Step 6: Final answer
    x = 152,108.12

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1.5x scale

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.