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Finding the Fourth Proportional to 580,170.79, 870,298.10 and 242,872.21

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Solution

The fourth proportional to 580,170.79, 870,298.10 and 242,872.21 is: 364,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,170.79 : 870,298.10 = 242,872.21 : x
  2. Step 2: Convert to fraction form
    580,170.79/870,298.10 = 242,872.21/x
  3. Step 3: Cross multiply
    580,170.79x = 870,298.10 × 242,872.21
  4. Step 4: Simplify right side
    580,170.79x = 211,371,222,905.80
  5. Step 5: Solve for x
    x = 211,371,222,905.80/580,170.79
  6. Step 6: Final answer
    x = 364,325.86

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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.