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Finding the Fourth Proportional to 398,781.60, 597,999.60 and 162,045.60

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Solution

The fourth proportional to 398,781.60, 597,999.60 and 162,045.60 is: 242,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,781.60 : 597,999.60 = 162,045.60 : x
  2. Step 2: Convert to fraction form
    398,781.60/597,999.60 = 162,045.60/x
  3. Step 3: Cross multiply
    398,781.60x = 597,999.60 × 162,045.60
  4. Step 4: Simplify right side
    398,781.60x = 96,903,203,981.76
  5. Step 5: Solve for x
    x = 96,903,203,981.76/398,781.60
  6. Step 6: Final answer
    x = 242,998.18

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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.