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Finding the Fourth Proportional to 408,721.14, 563,715.65 and 265,527.32

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Solution

The fourth proportional to 408,721.14, 563,715.65 and 265,527.32 is: 366,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,721.14 : 563,715.65 = 265,527.32 : x
  2. Step 2: Convert to fraction form
    408,721.14/563,715.65 = 265,527.32/x
  3. Step 3: Cross multiply
    408,721.14x = 563,715.65 × 265,527.32
  4. Step 4: Simplify right side
    408,721.14x = 149,681,903,631.80
  5. Step 5: Solve for x
    x = 149,681,903,631.80/408,721.14
  6. Step 6: Final answer
    x = 366,220.12

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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.