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Finding the Fourth Proportional to 408,272.58, 612,509.33 and 142,035.40

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Solution

The fourth proportional to 408,272.58, 612,509.33 and 142,035.40 is: 213,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272.58 : 612,509.33 = 142,035.40 : x
  2. Step 2: Convert to fraction form
    408,272.58/612,509.33 = 142,035.40/x
  3. Step 3: Cross multiply
    408,272.58x = 612,509.33 × 142,035.40
  4. Step 4: Simplify right side
    408,272.58x = 86,998,007,690.28
  5. Step 5: Solve for x
    x = 86,998,007,690.28/408,272.58
  6. Step 6: Final answer
    x = 213,088.05

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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.