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Finding the Fourth Proportional to 489,659.60, 734,489.40 and 265,710.80

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Solution

The fourth proportional to 489,659.60, 734,489.40 and 265,710.80 is: 398,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,659.60 : 734,489.40 = 265,710.80 : x
  2. Step 2: Convert to fraction form
    489,659.60/734,489.40 = 265,710.80/x
  3. Step 3: Cross multiply
    489,659.60x = 734,489.40 × 265,710.80
  4. Step 4: Simplify right side
    489,659.60x = 195,161,766,065.52
  5. Step 5: Solve for x
    x = 195,161,766,065.52/489,659.60
  6. Step 6: Final answer
    x = 398,566.20

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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.