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Finding the Fourth Proportional to 402,114.20, 602,480.10 and 261,800.60

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Solution

The fourth proportional to 402,114.20, 602,480.10 and 261,800.60 is: 392,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,114.20 : 602,480.10 = 261,800.60 : x
  2. Step 2: Convert to fraction form
    402,114.20/602,480.10 = 261,800.60/x
  3. Step 3: Cross multiply
    402,114.20x = 602,480.10 × 261,800.60
  4. Step 4: Simplify right side
    402,114.20x = 157,729,651,668.06
  5. Step 5: Solve for x
    x = 157,729,651,668.06/402,114.20
  6. Step 6: Final answer
    x = 392,250.89

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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.