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Finding the Fourth Proportional to 519,663.84, 779,517.44 and 164,670

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Solution

The fourth proportional to 519,663.84, 779,517.44 and 164,670 is: 247,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,663.84 : 779,517.44 = 164,670 : x
  2. Step 2: Convert to fraction form
    519,663.84/779,517.44 = 164,670/x
  3. Step 3: Cross multiply
    519,663.84x = 779,517.44 × 164,670
  4. Step 4: Simplify right side
    519,663.84x = 128,363,136,844.80
  5. Step 5: Solve for x
    x = 128,363,136,844.80/519,663.84
  6. Step 6: Final answer
    x = 247,011.87

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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.