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Finding the Fourth Proportional to 519,946.84, 779,947.96 and 164,988.64

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Solution

The fourth proportional to 519,946.84, 779,947.96 and 164,988.64 is: 247,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,946.84 : 779,947.96 = 164,988.64 : x
  2. Step 2: Convert to fraction form
    519,946.84/779,947.96 = 164,988.64/x
  3. Step 3: Cross multiply
    519,946.84x = 779,947.96 × 164,988.64
  4. Step 4: Simplify right side
    519,946.84x = 128,682,553,191.17
  5. Step 5: Solve for x
    x = 128,682,553,191.17/519,946.84
  6. Step 6: Final answer
    x = 247,491.75

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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.