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Finding the Fourth Proportional to 326,433.90, 489,594.45 and 86,549.47

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Solution

The fourth proportional to 326,433.90, 489,594.45 and 86,549.47 is: 129,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,433.90 : 489,594.45 = 86,549.47 : x
  2. Step 2: Convert to fraction form
    326,433.90/489,594.45 = 86,549.47/x
  3. Step 3: Cross multiply
    326,433.90x = 489,594.45 × 86,549.47
  4. Step 4: Simplify right side
    326,433.90x = 42,374,138,938.46
  5. Step 5: Solve for x
    x = 42,374,138,938.46/326,433.90
  6. Step 6: Final answer
    x = 129,809.25

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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.