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Finding the Fourth Proportional to 228,815.74, 315,415.70 and 160,641.46

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Solution

The fourth proportional to 228,815.74, 315,415.70 and 160,641.46 is: 221,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,815.74 : 315,415.70 = 160,641.46 : x
  2. Step 2: Convert to fraction form
    228,815.74/315,415.70 = 160,641.46/x
  3. Step 3: Cross multiply
    228,815.74x = 315,415.70 × 160,641.46
  4. Step 4: Simplify right side
    228,815.74x = 50,668,838,554.92
  5. Step 5: Solve for x
    x = 50,668,838,554.92/228,815.74
  6. Step 6: Final answer
    x = 221,439.48

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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.