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Finding the Fourth Proportional to 410,363.60, 614,854.20 and 199,547.60

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Solution

The fourth proportional to 410,363.60, 614,854.20 and 199,547.60 is: 298,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,363.60 : 614,854.20 = 199,547.60 : x
  2. Step 2: Convert to fraction form
    410,363.60/614,854.20 = 199,547.60/x
  3. Step 3: Cross multiply
    410,363.60x = 614,854.20 × 199,547.60
  4. Step 4: Simplify right side
    410,363.60x = 122,692,679,959.92
  5. Step 5: Solve for x
    x = 122,692,679,959.92/410,363.60
  6. Step 6: Final answer
    x = 298,985.29

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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.