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Finding the Fourth Proportional to 408,041.60, 612,062.40 and 282,070.40

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Solution

The fourth proportional to 408,041.60, 612,062.40 and 282,070.40 is: 423,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,041.60 : 612,062.40 = 282,070.40 : x
  2. Step 2: Convert to fraction form
    408,041.60/612,062.40 = 282,070.40/x
  3. Step 3: Cross multiply
    408,041.60x = 612,062.40 × 282,070.40
  4. Step 4: Simplify right side
    408,041.60x = 172,644,685,992.96
  5. Step 5: Solve for x
    x = 172,644,685,992.96/408,041.60
  6. Step 6: Final answer
    x = 423,105.60

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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.