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Finding the Fourth Proportional to 456,061.16, 684,239.28 and 219,372.92

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Solution

The fourth proportional to 456,061.16, 684,239.28 and 219,372.92 is: 329,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,061.16 : 684,239.28 = 219,372.92 : x
  2. Step 2: Convert to fraction form
    456,061.16/684,239.28 = 219,372.92/x
  3. Step 3: Cross multiply
    456,061.16x = 684,239.28 × 219,372.92
  4. Step 4: Simplify right side
    456,061.16x = 150,103,568,832.30
  5. Step 5: Solve for x
    x = 150,103,568,832.30/456,061.16
  6. Step 6: Final answer
    x = 329,130.35

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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.