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Finding the Fourth Proportional to 441,775.40, 662,663.10 and 409,298.45

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Solution

The fourth proportional to 441,775.40, 662,663.10 and 409,298.45 is: 613,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,775.40 : 662,663.10 = 409,298.45 : x
  2. Step 2: Convert to fraction form
    441,775.40/662,663.10 = 409,298.45/x
  3. Step 3: Cross multiply
    441,775.40x = 662,663.10 × 409,298.45
  4. Step 4: Simplify right side
    441,775.40x = 271,226,979,702.20
  5. Step 5: Solve for x
    x = 271,226,979,702.20/441,775.40
  6. Step 6: Final answer
    x = 613,947.68

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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.