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Finding the Fourth Proportional to 410,002.60, 564,963.78 and 302,402.20

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Solution

The fourth proportional to 410,002.60, 564,963.78 and 302,402.20 is: 416,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,002.60 : 564,963.78 = 302,402.20 : x
  2. Step 2: Convert to fraction form
    410,002.60/564,963.78 = 302,402.20/x
  3. Step 3: Cross multiply
    410,002.60x = 564,963.78 × 302,402.20
  4. Step 4: Simplify right side
    410,002.60x = 170,846,289,992.32
  5. Step 5: Solve for x
    x = 170,846,289,992.32/410,002.60
  6. Step 6: Final answer
    x = 416,695.63

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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.