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Finding the Fourth Proportional to 442,851.30, 663,292.80 and 342,686.70

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Solution

The fourth proportional to 442,851.30, 663,292.80 and 342,686.70 is: 513,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.30 : 663,292.80 = 342,686.70 : x
  2. Step 2: Convert to fraction form
    442,851.30/663,292.80 = 342,686.70/x
  3. Step 3: Cross multiply
    442,851.30x = 663,292.80 × 342,686.70
  4. Step 4: Simplify right side
    442,851.30x = 227,301,620,765.76
  5. Step 5: Solve for x
    x = 227,301,620,765.76/442,851.30
  6. Step 6: Final answer
    x = 513,268.50

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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.