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Finding the Fourth Proportional to 402,572.20, 604,203.90 and 178,277.80

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Solution

The fourth proportional to 402,572.20, 604,203.90 and 178,277.80 is: 267,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,572.20 : 604,203.90 = 178,277.80 : x
  2. Step 2: Convert to fraction form
    402,572.20/604,203.90 = 178,277.80/x
  3. Step 3: Cross multiply
    402,572.20x = 604,203.90 × 178,277.80
  4. Step 4: Simplify right side
    402,572.20x = 107,716,142,043.42
  5. Step 5: Solve for x
    x = 107,716,142,043.42/402,572.20
  6. Step 6: Final answer
    x = 267,569.75

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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.