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Finding the Fourth Proportional to 284,959.20, 427,438.80 and 282,990.90

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Solution

The fourth proportional to 284,959.20, 427,438.80 and 282,990.90 is: 424,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,959.20 : 427,438.80 = 282,990.90 : x
  2. Step 2: Convert to fraction form
    284,959.20/427,438.80 = 282,990.90/x
  3. Step 3: Cross multiply
    284,959.20x = 427,438.80 × 282,990.90
  4. Step 4: Simplify right side
    284,959.20x = 120,961,290,706.92
  5. Step 5: Solve for x
    x = 120,961,290,706.92/284,959.20
  6. Step 6: Final answer
    x = 424,486.35

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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.