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Finding the Fourth Proportional to 288,711.84, 433,060.47 and 78,344.31

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Solution

The fourth proportional to 288,711.84, 433,060.47 and 78,344.31 is: 117,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,711.84 : 433,060.47 = 78,344.31 : x
  2. Step 2: Convert to fraction form
    288,711.84/433,060.47 = 78,344.31/x
  3. Step 3: Cross multiply
    288,711.84x = 433,060.47 × 78,344.31
  4. Step 4: Simplify right side
    288,711.84x = 33,927,823,710.43
  5. Step 5: Solve for x
    x = 33,927,823,710.43/288,711.84
  6. Step 6: Final answer
    x = 117,514.49

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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.