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Finding the Fourth Proportional to 382,436.52, 573,632.91 and 145,803.12

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Solution

The fourth proportional to 382,436.52, 573,632.91 and 145,803.12 is: 218,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,436.52 : 573,632.91 = 145,803.12 : x
  2. Step 2: Convert to fraction form
    382,436.52/573,632.91 = 145,803.12/x
  3. Step 3: Cross multiply
    382,436.52x = 573,632.91 × 145,803.12
  4. Step 4: Simplify right side
    382,436.52x = 83,637,468,012.68
  5. Step 5: Solve for x
    x = 83,637,468,012.68/382,436.52
  6. Step 6: Final answer
    x = 218,696.34

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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.