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Finding the Fourth Proportional to 347,909.28, 480,209.40 and 204,715.50

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Solution

The fourth proportional to 347,909.28, 480,209.40 and 204,715.50 is: 282,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,909.28 : 480,209.40 = 204,715.50 : x
  2. Step 2: Convert to fraction form
    347,909.28/480,209.40 = 204,715.50/x
  3. Step 3: Cross multiply
    347,909.28x = 480,209.40 × 204,715.50
  4. Step 4: Simplify right side
    347,909.28x = 98,306,307,425.70
  5. Step 5: Solve for x
    x = 98,306,307,425.70/347,909.28
  6. Step 6: Final answer
    x = 282,563.05

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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.