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Finding the Fourth Proportional to 228,312.43, 315,159.47 and 204,397.54

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Solution

The fourth proportional to 228,312.43, 315,159.47 and 204,397.54 is: 282,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312.43 : 315,159.47 = 204,397.54 : x
  2. Step 2: Convert to fraction form
    228,312.43/315,159.47 = 204,397.54/x
  3. Step 3: Cross multiply
    228,312.43x = 315,159.47 × 204,397.54
  4. Step 4: Simplify right side
    228,312.43x = 64,417,819,353.72
  5. Step 5: Solve for x
    x = 64,417,819,353.72/228,312.43
  6. Step 6: Final answer
    x = 282,147.67

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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.