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Finding the Fourth Proportional to 360,089.84, 496,966.20 and 216,922.16

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Solution

The fourth proportional to 360,089.84, 496,966.20 and 216,922.16 is: 299,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,089.84 : 496,966.20 = 216,922.16 : x
  2. Step 2: Convert to fraction form
    360,089.84/496,966.20 = 216,922.16/x
  3. Step 3: Cross multiply
    360,089.84x = 496,966.20 × 216,922.16
  4. Step 4: Simplify right side
    360,089.84x = 107,802,981,550.99
  5. Step 5: Solve for x
    x = 107,802,981,550.99/360,089.84
  6. Step 6: Final answer
    x = 299,378.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.