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Finding the Fourth Proportional to 228,632.38, 342,875.86 and 213,706.30

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Solution

The fourth proportional to 228,632.38, 342,875.86 and 213,706.30 is: 320,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,632.38 : 342,875.86 = 213,706.30 : x
  2. Step 2: Convert to fraction form
    228,632.38/342,875.86 = 213,706.30/x
  3. Step 3: Cross multiply
    228,632.38x = 342,875.86 × 213,706.30
  4. Step 4: Simplify right side
    228,632.38x = 73,274,731,399.92
  5. Step 5: Solve for x
    x = 73,274,731,399.92/228,632.38
  6. Step 6: Final answer
    x = 320,491.49

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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.