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Finding the Fourth Proportional to 321,894, 444,213.72 and 180,582

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Solution

The fourth proportional to 321,894, 444,213.72 and 180,582 is: 249,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,894 : 444,213.72 = 180,582 : x
  2. Step 2: Convert to fraction form
    321,894/444,213.72 = 180,582/x
  3. Step 3: Cross multiply
    321,894x = 444,213.72 × 180,582
  4. Step 4: Simplify right side
    321,894x = 80,217,001,985.04
  5. Step 5: Solve for x
    x = 80,217,001,985.04/321,894
  6. Step 6: Final answer
    x = 249,203.16

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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.