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Finding the Fourth Proportional to 228,551, 315,295.71 and 148,004.47

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Solution

The fourth proportional to 228,551, 315,295.71 and 148,004.47 is: 204,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,551 : 315,295.71 = 148,004.47 : x
  2. Step 2: Convert to fraction form
    228,551/315,295.71 = 148,004.47/x
  3. Step 3: Cross multiply
    228,551x = 315,295.71 × 148,004.47
  4. Step 4: Simplify right side
    228,551x = 46,665,172,875.35
  5. Step 5: Solve for x
    x = 46,665,172,875.35/228,551
  6. Step 6: Final answer
    x = 204,178.38

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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.