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Finding the Fourth Proportional to 312,071.57, 430,657.65 and 168,831.65

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Solution

The fourth proportional to 312,071.57, 430,657.65 and 168,831.65 is: 232,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,071.57 : 430,657.65 = 168,831.65 : x
  2. Step 2: Convert to fraction form
    312,071.57/430,657.65 = 168,831.65/x
  3. Step 3: Cross multiply
    312,071.57x = 430,657.65 × 168,831.65
  4. Step 4: Simplify right side
    312,071.57x = 72,708,639,481.33
  5. Step 5: Solve for x
    x = 72,708,639,481.33/312,071.57
  6. Step 6: Final answer
    x = 232,987.07

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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.