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Finding the Fourth Proportional to 293,002.40, 438,812.40 and 198,999.20

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Solution

The fourth proportional to 293,002.40, 438,812.40 and 198,999.20 is: 298,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,002.40 : 438,812.40 = 198,999.20 : x
  2. Step 2: Convert to fraction form
    293,002.40/438,812.40 = 198,999.20/x
  3. Step 3: Cross multiply
    293,002.40x = 438,812.40 × 198,999.20
  4. Step 4: Simplify right side
    293,002.40x = 87,323,316,550.08
  5. Step 5: Solve for x
    x = 87,323,316,550.08/293,002.40
  6. Step 6: Final answer
    x = 298,029.36

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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.