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Finding the Fourth Proportional to 360,980.40, 498,205.49 and 207,989.03

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Solution

The fourth proportional to 360,980.40, 498,205.49 and 207,989.03 is: 287,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,980.40 : 498,205.49 = 207,989.03 : x
  2. Step 2: Convert to fraction form
    360,980.40/498,205.49 = 207,989.03/x
  3. Step 3: Cross multiply
    360,980.40x = 498,205.49 × 207,989.03
  4. Step 4: Simplify right side
    360,980.40x = 103,621,276,811.34
  5. Step 5: Solve for x
    x = 103,621,276,811.34/360,980.40
  6. Step 6: Final answer
    x = 287,055.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.