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Finding the Fourth Proportional to 408,089.78, 612,037.46 and 171,437.06

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Solution

The fourth proportional to 408,089.78, 612,037.46 and 171,437.06 is: 257,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,089.78 : 612,037.46 = 171,437.06 : x
  2. Step 2: Convert to fraction form
    408,089.78/612,037.46 = 171,437.06/x
  3. Step 3: Cross multiply
    408,089.78x = 612,037.46 × 171,437.06
  4. Step 4: Simplify right side
    408,089.78x = 104,925,902,752.27
  5. Step 5: Solve for x
    x = 104,925,902,752.27/408,089.78
  6. Step 6: Final answer
    x = 257,114.75

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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.