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Finding the Fourth Proportional to 349,213.80, 523,869.30 and 138,802.80

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Solution

The fourth proportional to 349,213.80, 523,869.30 and 138,802.80 is: 208,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,213.80 : 523,869.30 = 138,802.80 : x
  2. Step 2: Convert to fraction form
    349,213.80/523,869.30 = 138,802.80/x
  3. Step 3: Cross multiply
    349,213.80x = 523,869.30 × 138,802.80
  4. Step 4: Simplify right side
    349,213.80x = 72,714,525,674.04
  5. Step 5: Solve for x
    x = 72,714,525,674.04/349,213.80
  6. Step 6: Final answer
    x = 208,223.52

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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.