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Finding the Fourth Proportional to 228,715.31, 315,233.08 and 152,097.48

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Solution

The fourth proportional to 228,715.31, 315,233.08 and 152,097.48 is: 209,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.31 : 315,233.08 = 152,097.48 : x
  2. Step 2: Convert to fraction form
    228,715.31/315,233.08 = 152,097.48/x
  3. Step 3: Cross multiply
    228,715.31x = 315,233.08 × 152,097.48
  4. Step 4: Simplify right side
    228,715.31x = 47,946,156,700.39
  5. Step 5: Solve for x
    x = 47,946,156,700.39/228,715.31
  6. Step 6: Final answer
    x = 209,632.47

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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.