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Finding the Fourth Proportional to 282,864.84, 421,632.59 and 260,164.41

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Solution

The fourth proportional to 282,864.84, 421,632.59 and 260,164.41 is: 387,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,864.84 : 421,632.59 = 260,164.41 : x
  2. Step 2: Convert to fraction form
    282,864.84/421,632.59 = 260,164.41/x
  3. Step 3: Cross multiply
    282,864.84x = 421,632.59 × 260,164.41
  4. Step 4: Simplify right side
    282,864.84x = 109,693,794,014.12
  5. Step 5: Solve for x
    x = 109,693,794,014.12/282,864.84
  6. Step 6: Final answer
    x = 387,795.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.