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Finding the Fourth Proportional to 408,143.30, 612,221.12 and 155,437.77

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Solution

The fourth proportional to 408,143.30, 612,221.12 and 155,437.77 is: 233,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,143.30 : 612,221.12 = 155,437.77 : x
  2. Step 2: Convert to fraction form
    408,143.30/612,221.12 = 155,437.77/x
  3. Step 3: Cross multiply
    408,143.30x = 612,221.12 × 155,437.77
  4. Step 4: Simplify right side
    408,143.30x = 95,162,287,741.23
  5. Step 5: Solve for x
    x = 95,162,287,741.23/408,143.30
  6. Step 6: Final answer
    x = 233,159.01

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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.