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Finding the Fourth Proportional to 349,536, 524,305.92 and 86,880

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Solution

The fourth proportional to 349,536, 524,305.92 and 86,880 is: 130,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,536 : 524,305.92 = 86,880 : x
  2. Step 2: Convert to fraction form
    349,536/524,305.92 = 86,880/x
  3. Step 3: Cross multiply
    349,536x = 524,305.92 × 86,880
  4. Step 4: Simplify right side
    349,536x = 45,551,698,329.60
  5. Step 5: Solve for x
    x = 45,551,698,329.60/349,536
  6. Step 6: Final answer
    x = 130,320.48

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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.