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Finding the Fourth Proportional to 347,760, 521,448.30 and 107,807.49

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Solution

The fourth proportional to 347,760, 521,448.30 and 107,807.49 is: 161,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,760 : 521,448.30 = 107,807.49 : x
  2. Step 2: Convert to fraction form
    347,760/521,448.30 = 107,807.49/x
  3. Step 3: Cross multiply
    347,760x = 521,448.30 × 107,807.49
  4. Step 4: Simplify right side
    347,760x = 56,216,032,387.77
  5. Step 5: Solve for x
    x = 56,216,032,387.77/347,760
  6. Step 6: Final answer
    x = 161,651.81

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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.