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Finding the Fourth Proportional to 228,444.75, 315,210 and 147,861.09

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Solution

The fourth proportional to 228,444.75, 315,210 and 147,861.09 is: 204,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,444.75 : 315,210 = 147,861.09 : x
  2. Step 2: Convert to fraction form
    228,444.75/315,210 = 147,861.09/x
  3. Step 3: Cross multiply
    228,444.75x = 315,210 × 147,861.09
  4. Step 4: Simplify right side
    228,444.75x = 46,607,294,178.90
  5. Step 5: Solve for x
    x = 46,607,294,178.90/228,444.75
  6. Step 6: Final answer
    x = 204,019.98

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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.