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Finding the Fourth Proportional to 229,651.20, 342,662.40 and 198,547.20

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Solution

The fourth proportional to 229,651.20, 342,662.40 and 198,547.20 is: 296,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,651.20 : 342,662.40 = 198,547.20 : x
  2. Step 2: Convert to fraction form
    229,651.20/342,662.40 = 198,547.20/x
  3. Step 3: Cross multiply
    229,651.20x = 342,662.40 × 198,547.20
  4. Step 4: Simplify right side
    229,651.20x = 68,034,660,065.28
  5. Step 5: Solve for x
    x = 68,034,660,065.28/229,651.20
  6. Step 6: Final answer
    x = 296,252.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.