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Finding the Fourth Proportional to 349,728.60, 523,988.10 and 162,355.80

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Solution

The fourth proportional to 349,728.60, 523,988.10 and 162,355.80 is: 243,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,728.60 : 523,988.10 = 162,355.80 : x
  2. Step 2: Convert to fraction form
    349,728.60/523,988.10 = 162,355.80/x
  3. Step 3: Cross multiply
    349,728.60x = 523,988.10 × 162,355.80
  4. Step 4: Simplify right side
    349,728.60x = 85,072,507,165.98
  5. Step 5: Solve for x
    x = 85,072,507,165.98/349,728.60
  6. Step 6: Final answer
    x = 243,252.93

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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.