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Finding the Fourth Proportional to 410,916.80, 615,986.40 and 242,566.40

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Solution

The fourth proportional to 410,916.80, 615,986.40 and 242,566.40 is: 363,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,916.80 : 615,986.40 = 242,566.40 : x
  2. Step 2: Convert to fraction form
    410,916.80/615,986.40 = 242,566.40/x
  3. Step 3: Cross multiply
    410,916.80x = 615,986.40 × 242,566.40
  4. Step 4: Simplify right side
    410,916.80x = 149,417,603,496.96
  5. Step 5: Solve for x
    x = 149,417,603,496.96/410,916.80
  6. Step 6: Final answer
    x = 363,620.09

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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.