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Finding the Fourth Proportional to 516,148, 774,222 and 142,171.04

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Solution

The fourth proportional to 516,148, 774,222 and 142,171.04 is: 213,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,148 : 774,222 = 142,171.04 : x
  2. Step 2: Convert to fraction form
    516,148/774,222 = 142,171.04/x
  3. Step 3: Cross multiply
    516,148x = 774,222 × 142,171.04
  4. Step 4: Simplify right side
    516,148x = 110,071,946,930.88
  5. Step 5: Solve for x
    x = 110,071,946,930.88/516,148
  6. Step 6: Final answer
    x = 213,256.56

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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.