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Finding the Fourth Proportional to 385,606.56, 532,131.84 and 215,840.64

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Solution

The fourth proportional to 385,606.56, 532,131.84 and 215,840.64 is: 297,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,606.56 : 532,131.84 = 215,840.64 : x
  2. Step 2: Convert to fraction form
    385,606.56/532,131.84 = 215,840.64/x
  3. Step 3: Cross multiply
    385,606.56x = 532,131.84 × 215,840.64
  4. Step 4: Simplify right side
    385,606.56x = 114,855,676,909.98
  5. Step 5: Solve for x
    x = 114,855,676,909.98/385,606.56
  6. Step 6: Final answer
    x = 297,857.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.