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Finding the Fourth Proportional to 354,700, 532,150 and 144,488.80

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Solution

The fourth proportional to 354,700, 532,150 and 144,488.80 is: 216,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,700 : 532,150 = 144,488.80 : x
  2. Step 2: Convert to fraction form
    354,700/532,150 = 144,488.80/x
  3. Step 3: Cross multiply
    354,700x = 532,150 × 144,488.80
  4. Step 4: Simplify right side
    354,700x = 76,889,714,920
  5. Step 5: Solve for x
    x = 76,889,714,920/354,700
  6. Step 6: Final answer
    x = 216,773.94

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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.