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Finding the Fourth Proportional to 580,307.75, 870,181.49 and 243,257.90

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Solution

The fourth proportional to 580,307.75, 870,181.49 and 243,257.90 is: 364,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,307.75 : 870,181.49 = 243,257.90 : x
  2. Step 2: Convert to fraction form
    580,307.75/870,181.49 = 243,257.90/x
  3. Step 3: Cross multiply
    580,307.75x = 870,181.49 × 243,257.90
  4. Step 4: Simplify right side
    580,307.75x = 211,678,516,309.07
  5. Step 5: Solve for x
    x = 211,678,516,309.07/580,307.75
  6. Step 6: Final answer
    x = 364,769.41

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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.