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Finding the Fourth Proportional to 314,945.63, 472,420.17 and 78,288.32

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Solution

The fourth proportional to 314,945.63, 472,420.17 and 78,288.32 is: 117,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,945.63 : 472,420.17 = 78,288.32 : x
  2. Step 2: Convert to fraction form
    314,945.63/472,420.17 = 78,288.32/x
  3. Step 3: Cross multiply
    314,945.63x = 472,420.17 × 78,288.32
  4. Step 4: Simplify right side
    314,945.63x = 36,984,979,081.31
  5. Step 5: Solve for x
    x = 36,984,979,081.31/314,945.63
  6. Step 6: Final answer
    x = 117,432.90

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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.