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Finding the Fourth Proportional to 260,778.40, 392,002.80 and 242,288.80

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Solution

The fourth proportional to 260,778.40, 392,002.80 and 242,288.80 is: 364,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,778.40 : 392,002.80 = 242,288.80 : x
  2. Step 2: Convert to fraction form
    260,778.40/392,002.80 = 242,288.80/x
  3. Step 3: Cross multiply
    260,778.40x = 392,002.80 × 242,288.80
  4. Step 4: Simplify right side
    260,778.40x = 94,977,888,008.64
  5. Step 5: Solve for x
    x = 94,977,888,008.64/260,778.40
  6. Step 6: Final answer
    x = 364,209.18

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1.5x scale

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.