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Finding the Fourth Proportional to 545,452.72, 817,276.94 and 278,846.48

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Solution

The fourth proportional to 545,452.72, 817,276.94 and 278,846.48 is: 417,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,452.72 : 817,276.94 = 278,846.48 : x
  2. Step 2: Convert to fraction form
    545,452.72/817,276.94 = 278,846.48/x
  3. Step 3: Cross multiply
    545,452.72x = 817,276.94 × 278,846.48
  4. Step 4: Simplify right side
    545,452.72x = 227,894,799,598.81
  5. Step 5: Solve for x
    x = 227,894,799,598.81/545,452.72
  6. Step 6: Final answer
    x = 417,808.53

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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.