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Finding the Fourth Proportional to 326,027.80, 489,041.70 and 282,287.80

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Solution

The fourth proportional to 326,027.80, 489,041.70 and 282,287.80 is: 423,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,027.80 : 489,041.70 = 282,287.80 : x
  2. Step 2: Convert to fraction form
    326,027.80/489,041.70 = 282,287.80/x
  3. Step 3: Cross multiply
    326,027.80x = 489,041.70 × 282,287.80
  4. Step 4: Simplify right side
    326,027.80x = 138,050,505,601.26
  5. Step 5: Solve for x
    x = 138,050,505,601.26/326,027.80
  6. Step 6: Final answer
    x = 423,431.70

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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.