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Finding the Fourth Proportional to 354,653, 532,079.50 and 144,441.80

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Solution

The fourth proportional to 354,653, 532,079.50 and 144,441.80 is: 216,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,653 : 532,079.50 = 144,441.80 : x
  2. Step 2: Convert to fraction form
    354,653/532,079.50 = 144,441.80/x
  3. Step 3: Cross multiply
    354,653x = 532,079.50 × 144,441.80
  4. Step 4: Simplify right side
    354,653x = 76,854,520,723.10
  5. Step 5: Solve for x
    x = 76,854,520,723.10/354,653
  6. Step 6: Final answer
    x = 216,703.43

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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.