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Finding the Fourth Proportional to 284,280.50, 392,306.99 and 163,445.42

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Solution

The fourth proportional to 284,280.50, 392,306.99 and 163,445.42 is: 225,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,280.50 : 392,306.99 = 163,445.42 : x
  2. Step 2: Convert to fraction form
    284,280.50/392,306.99 = 163,445.42/x
  3. Step 3: Cross multiply
    284,280.50x = 392,306.99 × 163,445.42
  4. Step 4: Simplify right side
    284,280.50x = 64,120,777,970.72
  5. Step 5: Solve for x
    x = 64,120,777,970.72/284,280.50
  6. Step 6: Final answer
    x = 225,554.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.