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Finding the Fourth Proportional to 675,265.87, 932,153.84 and 420,742.81

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Solution

The fourth proportional to 675,265.87, 932,153.84 and 420,742.81 is: 580,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,265.87 : 932,153.84 = 420,742.81 : x
  2. Step 2: Convert to fraction form
    675,265.87/932,153.84 = 420,742.81/x
  3. Step 3: Cross multiply
    675,265.87x = 932,153.84 × 420,742.81
  4. Step 4: Simplify right side
    675,265.87x = 392,197,025,993.89
  5. Step 5: Solve for x
    x = 392,197,025,993.89/675,265.87
  6. Step 6: Final answer
    x = 580,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.