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Finding the Fourth Proportional to 612,212.28, 918,316.98 and 162,933

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Solution

The fourth proportional to 612,212.28, 918,316.98 and 162,933 is: 244,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,212.28 : 918,316.98 = 162,933 : x
  2. Step 2: Convert to fraction form
    612,212.28/918,316.98 = 162,933/x
  3. Step 3: Cross multiply
    612,212.28x = 918,316.98 × 162,933
  4. Step 4: Simplify right side
    612,212.28x = 149,624,140,502.34
  5. Step 5: Solve for x
    x = 149,624,140,502.34/612,212.28
  6. Step 6: Final answer
    x = 244,399.12

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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.