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Finding the Fourth Proportional to 209,490.96, 314,239.80 and 198,857.28

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Solution

The fourth proportional to 209,490.96, 314,239.80 and 198,857.28 is: 298,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,490.96 : 314,239.80 = 198,857.28 : x
  2. Step 2: Convert to fraction form
    209,490.96/314,239.80 = 198,857.28/x
  3. Step 3: Cross multiply
    209,490.96x = 314,239.80 × 198,857.28
  4. Step 4: Simplify right side
    209,490.96x = 62,488,871,895.74
  5. Step 5: Solve for x
    x = 62,488,871,895.74/209,490.96
  6. Step 6: Final answer
    x = 298,289.11

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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.