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Finding the Fourth Proportional to 408,309.32, 612,064.86 and 183,726.29

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Solution

The fourth proportional to 408,309.32, 612,064.86 and 183,726.29 is: 275,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,309.32 : 612,064.86 = 183,726.29 : x
  2. Step 2: Convert to fraction form
    408,309.32/612,064.86 = 183,726.29/x
  3. Step 3: Cross multiply
    408,309.32x = 612,064.86 × 183,726.29
  4. Step 4: Simplify right side
    408,309.32x = 112,452,406,808.36
  5. Step 5: Solve for x
    x = 112,452,406,808.36/408,309.32
  6. Step 6: Final answer
    x = 275,409.84

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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.