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Finding the Fourth Proportional to 298,031.80, 411,252.78 and 170,712.76

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Solution

The fourth proportional to 298,031.80, 411,252.78 and 170,712.76 is: 235,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,031.80 : 411,252.78 = 170,712.76 : x
  2. Step 2: Convert to fraction form
    298,031.80/411,252.78 = 170,712.76/x
  3. Step 3: Cross multiply
    298,031.80x = 411,252.78 × 170,712.76
  4. Step 4: Simplify right side
    298,031.80x = 70,206,097,131.47
  5. Step 5: Solve for x
    x = 70,206,097,131.47/298,031.80
  6. Step 6: Final answer
    x = 235,565.79

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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.