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Finding the Fourth Proportional to 284,534.40, 426,801.60 and 159,859.20

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Solution

The fourth proportional to 284,534.40, 426,801.60 and 159,859.20 is: 239,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,534.40 : 426,801.60 = 159,859.20 : x
  2. Step 2: Convert to fraction form
    284,534.40/426,801.60 = 159,859.20/x
  3. Step 3: Cross multiply
    284,534.40x = 426,801.60 × 159,859.20
  4. Step 4: Simplify right side
    284,534.40x = 68,228,162,334.72
  5. Step 5: Solve for x
    x = 68,228,162,334.72/284,534.40
  6. Step 6: Final answer
    x = 239,788.80

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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.