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Finding the Fourth Proportional to 383,154.68, 528,753.47 and 213,388.80

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Solution

The fourth proportional to 383,154.68, 528,753.47 and 213,388.80 is: 294,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,154.68 : 528,753.47 = 213,388.80 : x
  2. Step 2: Convert to fraction form
    383,154.68/528,753.47 = 213,388.80/x
  3. Step 3: Cross multiply
    383,154.68x = 528,753.47 × 213,388.80
  4. Step 4: Simplify right side
    383,154.68x = 112,830,071,071.04
  5. Step 5: Solve for x
    x = 112,830,071,071.04/383,154.68
  6. Step 6: Final answer
    x = 294,476.56

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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.