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Finding the Fourth Proportional to 354,664, 532,096 and 144,452.80

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Solution

The fourth proportional to 354,664, 532,096 and 144,452.80 is: 216,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664 : 532,096 = 144,452.80 : x
  2. Step 2: Convert to fraction form
    354,664/532,096 = 144,452.80/x
  3. Step 3: Cross multiply
    354,664x = 532,096 × 144,452.80
  4. Step 4: Simplify right side
    354,664x = 76,862,757,068.80
  5. Step 5: Solve for x
    x = 76,862,757,068.80/354,664
  6. Step 6: Final answer
    x = 216,719.93

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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.