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Finding the Fourth Proportional to 266,205, 399,305.88 and 76,670.40

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Solution

The fourth proportional to 266,205, 399,305.88 and 76,670.40 is: 115,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,205 : 399,305.88 = 76,670.40 : x
  2. Step 2: Convert to fraction form
    266,205/399,305.88 = 76,670.40/x
  3. Step 3: Cross multiply
    266,205x = 399,305.88 × 76,670.40
  4. Step 4: Simplify right side
    266,205x = 30,614,941,541.95
  5. Step 5: Solve for x
    x = 30,614,941,541.95/266,205
  6. Step 6: Final answer
    x = 115,005.13

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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.