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Finding the Fourth Proportional to 458,863.63, 688,309.03 and 219,002.81

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Solution

The fourth proportional to 458,863.63, 688,309.03 and 219,002.81 is: 328,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,863.63 : 688,309.03 = 219,002.81 : x
  2. Step 2: Convert to fraction form
    458,863.63/688,309.03 = 219,002.81/x
  3. Step 3: Cross multiply
    458,863.63x = 688,309.03 × 219,002.81
  4. Step 4: Simplify right side
    458,863.63x = 150,741,612,422.32
  5. Step 5: Solve for x
    x = 150,741,612,422.32/458,863.63
  6. Step 6: Final answer
    x = 328,510.70

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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.