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Finding the Fourth Proportional to 410,586.78, 615,897.45 and 200,401.50

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Solution

The fourth proportional to 410,586.78, 615,897.45 and 200,401.50 is: 300,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,586.78 : 615,897.45 = 200,401.50 : x
  2. Step 2: Convert to fraction form
    410,586.78/615,897.45 = 200,401.50/x
  3. Step 3: Cross multiply
    410,586.78x = 615,897.45 × 200,401.50
  4. Step 4: Simplify right side
    410,586.78x = 123,426,772,826.18
  5. Step 5: Solve for x
    x = 123,426,772,826.18/410,586.78
  6. Step 6: Final answer
    x = 300,610.68

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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.