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Finding the Fourth Proportional to 612,148, 918,224.14 and 185,687.50

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Solution

The fourth proportional to 612,148, 918,224.14 and 185,687.50 is: 278,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,148 : 918,224.14 = 185,687.50 : x
  2. Step 2: Convert to fraction form
    612,148/918,224.14 = 185,687.50/x
  3. Step 3: Cross multiply
    612,148x = 918,224.14 × 185,687.50
  4. Step 4: Simplify right side
    612,148x = 170,502,744,067.81
  5. Step 5: Solve for x
    x = 170,502,744,067.81/612,148
  6. Step 6: Final answer
    x = 278,531.90

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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.