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Finding the Fourth Proportional to 482,803.60, 724,205.40 and 258,854.80

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Solution

The fourth proportional to 482,803.60, 724,205.40 and 258,854.80 is: 388,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,803.60 : 724,205.40 = 258,854.80 : x
  2. Step 2: Convert to fraction form
    482,803.60/724,205.40 = 258,854.80/x
  3. Step 3: Cross multiply
    482,803.60x = 724,205.40 × 258,854.80
  4. Step 4: Simplify right side
    482,803.60x = 187,464,043,975.92
  5. Step 5: Solve for x
    x = 187,464,043,975.92/482,803.60
  6. Step 6: Final answer
    x = 388,282.20

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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.