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Finding the Fourth Proportional to 266,385.88, 399,575.79 and 76,840.00

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Solution

The fourth proportional to 266,385.88, 399,575.79 and 76,840.00 is: 115,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,385.88 : 399,575.79 = 76,840.00 : x
  2. Step 2: Convert to fraction form
    266,385.88/399,575.79 = 76,840.00/x
  3. Step 3: Cross multiply
    266,385.88x = 399,575.79 × 76,840.00
  4. Step 4: Simplify right side
    266,385.88x = 30,703,402,796.51
  5. Step 5: Solve for x
    x = 30,703,402,796.51/266,385.88
  6. Step 6: Final answer
    x = 115,259.12

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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.