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Finding the Fourth Proportional to 427,953.36, 642,148.60 and 285,895.76

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Solution

The fourth proportional to 427,953.36, 642,148.60 and 285,895.76 is: 428,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,953.36 : 642,148.60 = 285,895.76 : x
  2. Step 2: Convert to fraction form
    427,953.36/642,148.60 = 285,895.76/x
  3. Step 3: Cross multiply
    427,953.36x = 642,148.60 × 285,895.76
  4. Step 4: Simplify right side
    427,953.36x = 183,587,562,029.94
  5. Step 5: Solve for x
    x = 183,587,562,029.94/427,953.36
  6. Step 6: Final answer
    x = 428,989.65

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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.