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Finding the Fourth Proportional to 315,024.64, 472,538.68 and 78,367.32

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Solution

The fourth proportional to 315,024.64, 472,538.68 and 78,367.32 is: 117,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024.64 : 472,538.68 = 78,367.32 : x
  2. Step 2: Convert to fraction form
    315,024.64/472,538.68 = 78,367.32/x
  3. Step 3: Cross multiply
    315,024.64x = 472,538.68 × 78,367.32
  4. Step 4: Simplify right side
    315,024.64x = 37,031,589,947.94
  5. Step 5: Solve for x
    x = 37,031,589,947.94/315,024.64
  6. Step 6: Final answer
    x = 117,551.41

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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.