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Finding the Fourth Proportional to 580,315.02, 870,336.45 and 280,647.42

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Solution

The fourth proportional to 580,315.02, 870,336.45 and 280,647.42 is: 420,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,315.02 : 870,336.45 = 280,647.42 : x
  2. Step 2: Convert to fraction form
    580,315.02/870,336.45 = 280,647.42/x
  3. Step 3: Cross multiply
    580,315.02x = 870,336.45 × 280,647.42
  4. Step 4: Simplify right side
    580,315.02x = 244,257,679,224.46
  5. Step 5: Solve for x
    x = 244,257,679,224.46/580,315.02
  6. Step 6: Final answer
    x = 420,905.32

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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.