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Finding the Fourth Proportional to 612,158.49, 918,402.96 and 212,821.38

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Solution

The fourth proportional to 612,158.49, 918,402.96 and 212,821.38 is: 319,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,158.49 : 918,402.96 = 212,821.38 : x
  2. Step 2: Convert to fraction form
    612,158.49/918,402.96 = 212,821.38/x
  3. Step 3: Cross multiply
    612,158.49x = 918,402.96 × 212,821.38
  4. Step 4: Simplify right side
    612,158.49x = 195,455,785,343.29
  5. Step 5: Solve for x
    x = 195,455,785,343.29/612,158.49
  6. Step 6: Final answer
    x = 319,289.51

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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.