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Finding the Fourth Proportional to 439,915.20, 659,435.40 and 202,844.40

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Solution

The fourth proportional to 439,915.20, 659,435.40 and 202,844.40 is: 304,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,915.20 : 659,435.40 = 202,844.40 : x
  2. Step 2: Convert to fraction form
    439,915.20/659,435.40 = 202,844.40/x
  3. Step 3: Cross multiply
    439,915.20x = 659,435.40 × 202,844.40
  4. Step 4: Simplify right side
    439,915.20x = 133,762,778,051.76
  5. Step 5: Solve for x
    x = 133,762,778,051.76/439,915.20
  6. Step 6: Final answer
    x = 304,064.92

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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.