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Finding the Fourth Proportional to 469,990.80, 703,949.40 and 282,675.60

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Solution

The fourth proportional to 469,990.80, 703,949.40 and 282,675.60 is: 423,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,990.80 : 703,949.40 = 282,675.60 : x
  2. Step 2: Convert to fraction form
    469,990.80/703,949.40 = 282,675.60/x
  3. Step 3: Cross multiply
    469,990.80x = 703,949.40 × 282,675.60
  4. Step 4: Simplify right side
    469,990.80x = 198,989,319,014.64
  5. Step 5: Solve for x
    x = 198,989,319,014.64/469,990.80
  6. Step 6: Final answer
    x = 423,389.82

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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.