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Finding the Fourth Proportional to 385,559.64, 532,072.24 and 215,793.76

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Solution

The fourth proportional to 385,559.64, 532,072.24 and 215,793.76 is: 297,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,559.64 : 532,072.24 = 215,793.76 : x
  2. Step 2: Convert to fraction form
    385,559.64/532,072.24 = 215,793.76/x
  3. Step 3: Cross multiply
    385,559.64x = 532,072.24 × 215,793.76
  4. Step 4: Simplify right side
    385,559.64x = 114,817,869,261.22
  5. Step 5: Solve for x
    x = 114,817,869,261.22/385,559.64
  6. Step 6: Final answer
    x = 297,795.35

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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.