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Finding the Fourth Proportional to 519,225.60, 778,300.80 and 282,067.20

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Solution

The fourth proportional to 519,225.60, 778,300.80 and 282,067.20 is: 422,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,225.60 : 778,300.80 = 282,067.20 : x
  2. Step 2: Convert to fraction form
    519,225.60/778,300.80 = 282,067.20/x
  3. Step 3: Cross multiply
    519,225.60x = 778,300.80 × 282,067.20
  4. Step 4: Simplify right side
    519,225.60x = 219,533,127,413.76
  5. Step 5: Solve for x
    x = 219,533,127,413.76/519,225.60
  6. Step 6: Final answer
    x = 422,808.75

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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.