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Finding the Fourth Proportional to 456,534.82, 684,948.03 and 219,901.42

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Solution

The fourth proportional to 456,534.82, 684,948.03 and 219,901.42 is: 329,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,534.82 : 684,948.03 = 219,901.42 : x
  2. Step 2: Convert to fraction form
    456,534.82/684,948.03 = 219,901.42/x
  3. Step 3: Cross multiply
    456,534.82x = 684,948.03 × 219,901.42
  4. Step 4: Simplify right side
    456,534.82x = 150,621,044,423.20
  5. Step 5: Solve for x
    x = 150,621,044,423.20/456,534.82
  6. Step 6: Final answer
    x = 329,922.36

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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.