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Finding the Fourth Proportional to 349,263.28, 523,898.16 and 138,954.88

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Solution

The fourth proportional to 349,263.28, 523,898.16 and 138,954.88 is: 208,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,263.28 : 523,898.16 = 138,954.88 : x
  2. Step 2: Convert to fraction form
    349,263.28/523,898.16 = 138,954.88/x
  3. Step 3: Cross multiply
    349,263.28x = 523,898.16 × 138,954.88
  4. Step 4: Simplify right side
    349,263.28x = 72,798,205,955.02
  5. Step 5: Solve for x
    x = 72,798,205,955.02/349,263.28
  6. Step 6: Final answer
    x = 208,433.61

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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.