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Finding the Fourth Proportional to 326,070.80, 489,106.20 and 282,330.80

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Solution

The fourth proportional to 326,070.80, 489,106.20 and 282,330.80 is: 423,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,070.80 : 489,106.20 = 282,330.80 : x
  2. Step 2: Convert to fraction form
    326,070.80/489,106.20 = 282,330.80/x
  3. Step 3: Cross multiply
    326,070.80x = 489,106.20 × 282,330.80
  4. Step 4: Simplify right side
    326,070.80x = 138,089,744,730.96
  5. Step 5: Solve for x
    x = 138,089,744,730.96/326,070.80
  6. Step 6: Final answer
    x = 423,496.20

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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.