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Finding the Fourth Proportional to 408,641.40, 611,795.70 and 361,985.40

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Solution

The fourth proportional to 408,641.40, 611,795.70 and 361,985.40 is: 541,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,641.40 : 611,795.70 = 361,985.40 : x
  2. Step 2: Convert to fraction form
    408,641.40/611,795.70 = 361,985.40/x
  3. Step 3: Cross multiply
    408,641.40x = 611,795.70 × 361,985.40
  4. Step 4: Simplify right side
    408,641.40x = 221,461,111,182.78
  5. Step 5: Solve for x
    x = 221,461,111,182.78/408,641.40
  6. Step 6: Final answer
    x = 541,944.87

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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.