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Finding the Fourth Proportional to 349,088.16, 523,820.16 and 138,727.92

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Solution

The fourth proportional to 349,088.16, 523,820.16 and 138,727.92 is: 208,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,088.16 : 523,820.16 = 138,727.92 : x
  2. Step 2: Convert to fraction form
    349,088.16/523,820.16 = 138,727.92/x
  3. Step 3: Cross multiply
    349,088.16x = 523,820.16 × 138,727.92
  4. Step 4: Simplify right side
    349,088.16x = 72,668,481,250.87
  5. Step 5: Solve for x
    x = 72,668,481,250.87/349,088.16
  6. Step 6: Final answer
    x = 208,166.56

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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.