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Finding the Fourth Proportional to 385,706.16, 532,270.32 and 215,942.16

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Solution

The fourth proportional to 385,706.16, 532,270.32 and 215,942.16 is: 297,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,706.16 : 532,270.32 = 215,942.16 : x
  2. Step 2: Convert to fraction form
    385,706.16/532,270.32 = 215,942.16/x
  3. Step 3: Cross multiply
    385,706.16x = 532,270.32 × 215,942.16
  4. Step 4: Simplify right side
    385,706.16x = 114,939,602,604.69
  5. Step 5: Solve for x
    x = 114,939,602,604.69/385,706.16
  6. Step 6: Final answer
    x = 297,997.84

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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.