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Finding the Fourth Proportional to 262,447.30, 393,670.95 and 209,959.30

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Solution

The fourth proportional to 262,447.30, 393,670.95 and 209,959.30 is: 314,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,447.30 : 393,670.95 = 209,959.30 : x
  2. Step 2: Convert to fraction form
    262,447.30/393,670.95 = 209,959.30/x
  3. Step 3: Cross multiply
    262,447.30x = 393,670.95 × 209,959.30
  4. Step 4: Simplify right side
    262,447.30x = 82,654,877,092.34
  5. Step 5: Solve for x
    x = 82,654,877,092.34/262,447.30
  6. Step 6: Final answer
    x = 314,938.95

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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.