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Finding the Fourth Proportional to 408,547.56, 612,821.52 and 128,086.68

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Solution

The fourth proportional to 408,547.56, 612,821.52 and 128,086.68 is: 192,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,547.56 : 612,821.52 = 128,086.68 : x
  2. Step 2: Convert to fraction form
    408,547.56/612,821.52 = 128,086.68/x
  3. Step 3: Cross multiply
    408,547.56x = 612,821.52 × 128,086.68
  4. Step 4: Simplify right side
    408,547.56x = 78,494,273,929.35
  5. Step 5: Solve for x
    x = 78,494,273,929.35/408,547.56
  6. Step 6: Final answer
    x = 192,130.08

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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.