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Finding the Fourth Proportional to 298,987.02, 447,973.02 and 180,409.20

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Solution

The fourth proportional to 298,987.02, 447,973.02 and 180,409.20 is: 270,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,987.02 : 447,973.02 = 180,409.20 : x
  2. Step 2: Convert to fraction form
    298,987.02/447,973.02 = 180,409.20/x
  3. Step 3: Cross multiply
    298,987.02x = 447,973.02 × 180,409.20
  4. Step 4: Simplify right side
    298,987.02x = 80,818,454,159.78
  5. Step 5: Solve for x
    x = 80,818,454,159.78/298,987.02
  6. Step 6: Final answer
    x = 270,307.57

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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.