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Finding the Fourth Proportional to 408,064.60, 612,096.90 and 258,473.80

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Solution

The fourth proportional to 408,064.60, 612,096.90 and 258,473.80 is: 387,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064.60 : 612,096.90 = 258,473.80 : x
  2. Step 2: Convert to fraction form
    408,064.60/612,096.90 = 258,473.80/x
  3. Step 3: Cross multiply
    408,064.60x = 612,096.90 × 258,473.80
  4. Step 4: Simplify right side
    408,064.60x = 158,211,011,711.22
  5. Step 5: Solve for x
    x = 158,211,011,711.22/408,064.60
  6. Step 6: Final answer
    x = 387,710.70

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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.