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Finding the Fourth Proportional to 288,363.87, 432,511.38 and 78,018.21

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Solution

The fourth proportional to 288,363.87, 432,511.38 and 78,018.21 is: 117,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,363.87 : 432,511.38 = 78,018.21 : x
  2. Step 2: Convert to fraction form
    288,363.87/432,511.38 = 78,018.21/x
  3. Step 3: Cross multiply
    288,363.87x = 432,511.38 × 78,018.21
  4. Step 4: Simplify right side
    288,363.87x = 33,743,763,672.23
  5. Step 5: Solve for x
    x = 33,743,763,672.23/288,363.87
  6. Step 6: Final answer
    x = 117,018.00

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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.