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Finding the Fourth Proportional to 545,127.84, 817,769.52 and 171,180

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Solution

The fourth proportional to 545,127.84, 817,769.52 and 171,180 is: 256,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,127.84 : 817,769.52 = 171,180 : x
  2. Step 2: Convert to fraction form
    545,127.84/817,769.52 = 171,180/x
  3. Step 3: Cross multiply
    545,127.84x = 817,769.52 × 171,180
  4. Step 4: Simplify right side
    545,127.84x = 139,985,786,433.60
  5. Step 5: Solve for x
    x = 139,985,786,433.60/545,127.84
  6. Step 6: Final answer
    x = 256,794.42

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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.