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Finding the Fourth Proportional to 284,401.60, 426,397.60 and 159,780.80

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Solution

The fourth proportional to 284,401.60, 426,397.60 and 159,780.80 is: 239,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401.60 : 426,397.60 = 159,780.80 : x
  2. Step 2: Convert to fraction form
    284,401.60/426,397.60 = 159,780.80/x
  3. Step 3: Cross multiply
    284,401.60x = 426,397.60 × 159,780.80
  4. Step 4: Simplify right side
    284,401.60x = 68,130,149,646.08
  5. Step 5: Solve for x
    x = 68,130,149,646.08/284,401.60
  6. Step 6: Final answer
    x = 239,556.14

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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.