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Finding the Fourth Proportional to 580,180.86, 870,275.64 and 220,254.72

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Solution

The fourth proportional to 580,180.86, 870,275.64 and 220,254.72 is: 330,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,180.86 : 870,275.64 = 220,254.72 : x
  2. Step 2: Convert to fraction form
    580,180.86/870,275.64 = 220,254.72/x
  3. Step 3: Cross multiply
    580,180.86x = 870,275.64 × 220,254.72
  4. Step 4: Simplify right side
    580,180.86x = 191,682,317,411.02
  5. Step 5: Solve for x
    x = 191,682,317,411.02/580,180.86
  6. Step 6: Final answer
    x = 330,383.73

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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.