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Finding the Fourth Proportional to 354,652, 532,078 and 144,440.80

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Solution

The fourth proportional to 354,652, 532,078 and 144,440.80 is: 216,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,652 : 532,078 = 144,440.80 : x
  2. Step 2: Convert to fraction form
    354,652/532,078 = 144,440.80/x
  3. Step 3: Cross multiply
    354,652x = 532,078 × 144,440.80
  4. Step 4: Simplify right side
    354,652x = 76,853,771,982.40
  5. Step 5: Solve for x
    x = 76,853,771,982.40/354,652
  6. Step 6: Final answer
    x = 216,701.93

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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.