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Finding the Fourth Proportional to 354,650, 532,075 and 144,438.80

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Solution

The fourth proportional to 354,650, 532,075 and 144,438.80 is: 216,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,650 : 532,075 = 144,438.80 : x
  2. Step 2: Convert to fraction form
    354,650/532,075 = 144,438.80/x
  3. Step 3: Cross multiply
    354,650x = 532,075 × 144,438.80
  4. Step 4: Simplify right side
    354,650x = 76,852,274,510
  5. Step 5: Solve for x
    x = 76,852,274,510/354,650
  6. Step 6: Final answer
    x = 216,698.93

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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.