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Finding the Fourth Proportional to 320,470, 442,230.63 and 175,246.99

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Solution

The fourth proportional to 320,470, 442,230.63 and 175,246.99 is: 241,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,470 : 442,230.63 = 175,246.99 : x
  2. Step 2: Convert to fraction form
    320,470/442,230.63 = 175,246.99/x
  3. Step 3: Cross multiply
    320,470x = 442,230.63 × 175,246.99
  4. Step 4: Simplify right side
    320,470x = 77,499,586,793.30
  5. Step 5: Solve for x
    x = 77,499,586,793.30/320,470
  6. Step 6: Final answer
    x = 241,831.02

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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.