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Finding the Fourth Proportional to 383,001.84, 528,509.88 and 213,251.76

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Solution

The fourth proportional to 383,001.84, 528,509.88 and 213,251.76 is: 294,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,001.84 : 528,509.88 = 213,251.76 : x
  2. Step 2: Convert to fraction form
    383,001.84/528,509.88 = 213,251.76/x
  3. Step 3: Cross multiply
    383,001.84x = 528,509.88 × 213,251.76
  4. Step 4: Simplify right side
    383,001.84x = 112,705,662,087.39
  5. Step 5: Solve for x
    x = 112,705,662,087.39/383,001.84
  6. Step 6: Final answer
    x = 294,269.24

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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.