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Finding the Fourth Proportional to 398,740.86, 598,009.14 and 118,192.50

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Solution

The fourth proportional to 398,740.86, 598,009.14 and 118,192.50 is: 177,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,740.86 : 598,009.14 = 118,192.50 : x
  2. Step 2: Convert to fraction form
    398,740.86/598,009.14 = 118,192.50/x
  3. Step 3: Cross multiply
    398,740.86x = 598,009.14 × 118,192.50
  4. Step 4: Simplify right side
    398,740.86x = 70,680,195,279.45
  5. Step 5: Solve for x
    x = 70,680,195,279.45/398,740.86
  6. Step 6: Final answer
    x = 177,258.47

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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.