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Finding the Fourth Proportional to 230,315.40, 317,831.04 and 129,713.40

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Solution

The fourth proportional to 230,315.40, 317,831.04 and 129,713.40 is: 179,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,315.40 : 317,831.04 = 129,713.40 : x
  2. Step 2: Convert to fraction form
    230,315.40/317,831.04 = 129,713.40/x
  3. Step 3: Cross multiply
    230,315.40x = 317,831.04 × 129,713.40
  4. Step 4: Simplify right side
    230,315.40x = 41,226,944,823.94
  5. Step 5: Solve for x
    x = 41,226,944,823.94/230,315.40
  6. Step 6: Final answer
    x = 179,002.12

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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.