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Finding the Fourth Proportional to 228,219.48, 342,245.34 and 78,417.24

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Solution

The fourth proportional to 228,219.48, 342,245.34 and 78,417.24 is: 117,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,219.48 : 342,245.34 = 78,417.24 : x
  2. Step 2: Convert to fraction form
    228,219.48/342,245.34 = 78,417.24/x
  3. Step 3: Cross multiply
    228,219.48x = 342,245.34 × 78,417.24
  4. Step 4: Simplify right side
    228,219.48x = 26,837,934,965.66
  5. Step 5: Solve for x
    x = 26,837,934,965.66/228,219.48
  6. Step 6: Final answer
    x = 117,597.04

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1.5x scale

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.