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Finding the Fourth Proportional to 398,917.80, 598,376.70 and 162,430.20

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Solution

The fourth proportional to 398,917.80, 598,376.70 and 162,430.20 is: 243,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,917.80 : 598,376.70 = 162,430.20 : x
  2. Step 2: Convert to fraction form
    398,917.80/598,376.70 = 162,430.20/x
  3. Step 3: Cross multiply
    398,917.80x = 598,376.70 × 162,430.20
  4. Step 4: Simplify right side
    398,917.80x = 97,194,447,056.34
  5. Step 5: Solve for x
    x = 97,194,447,056.34/398,917.80
  6. Step 6: Final answer
    x = 243,645.30

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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.