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Finding the Fourth Proportional to 229,430.40, 343,454.40 and 204,547.20

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Solution

The fourth proportional to 229,430.40, 343,454.40 and 204,547.20 is: 306,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,430.40 : 343,454.40 = 204,547.20 : x
  2. Step 2: Convert to fraction form
    229,430.40/343,454.40 = 204,547.20/x
  3. Step 3: Cross multiply
    229,430.40x = 343,454.40 × 204,547.20
  4. Step 4: Simplify right side
    229,430.40x = 70,252,635,847.68
  5. Step 5: Solve for x
    x = 70,252,635,847.68/229,430.40
  6. Step 6: Final answer
    x = 306,204.57

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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.