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Finding the Fourth Proportional to 340,909.52, 511,438.13 and 130,547.48

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Solution

The fourth proportional to 340,909.52, 511,438.13 and 130,547.48 is: 195,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,909.52 : 511,438.13 = 130,547.48 : x
  2. Step 2: Convert to fraction form
    340,909.52/511,438.13 = 130,547.48/x
  3. Step 3: Cross multiply
    340,909.52x = 511,438.13 × 130,547.48
  4. Step 4: Simplify right side
    340,909.52x = 66,766,958,394.68
  5. Step 5: Solve for x
    x = 66,766,958,394.68/340,909.52
  6. Step 6: Final answer
    x = 195,849.50

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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.