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Finding the Fourth Proportional to 408,145.67, 612,263.15 and 138,468.51

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Solution

The fourth proportional to 408,145.67, 612,263.15 and 138,468.51 is: 207,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,145.67 : 612,263.15 = 138,468.51 : x
  2. Step 2: Convert to fraction form
    408,145.67/612,263.15 = 138,468.51/x
  3. Step 3: Cross multiply
    408,145.67x = 612,263.15 × 138,468.51
  4. Step 4: Simplify right side
    408,145.67x = 84,779,165,416.06
  5. Step 5: Solve for x
    x = 84,779,165,416.06/408,145.67
  6. Step 6: Final answer
    x = 207,717.91

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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.