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Finding the Fourth Proportional to 228,857.92, 315,841.44 and 144,047.68

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Solution

The fourth proportional to 228,857.92, 315,841.44 and 144,047.68 is: 198,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,857.92 : 315,841.44 = 144,047.68 : x
  2. Step 2: Convert to fraction form
    228,857.92/315,841.44 = 144,047.68/x
  3. Step 3: Cross multiply
    228,857.92x = 315,841.44 × 144,047.68
  4. Step 4: Simplify right side
    228,857.92x = 45,496,226,679.86
  5. Step 5: Solve for x
    x = 45,496,226,679.86/228,857.92
  6. Step 6: Final answer
    x = 198,796.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.