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Finding the Fourth Proportional to 311,864.42, 430,372.31 and 175,897.94

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Solution

The fourth proportional to 311,864.42, 430,372.31 and 175,897.94 is: 242,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864.42 : 430,372.31 = 175,897.94 : x
  2. Step 2: Convert to fraction form
    311,864.42/430,372.31 = 175,897.94/x
  3. Step 3: Cross multiply
    311,864.42x = 430,372.31 × 175,897.94
  4. Step 4: Simplify right side
    311,864.42x = 75,701,602,762.04
  5. Step 5: Solve for x
    x = 75,701,602,762.04/311,864.42
  6. Step 6: Final answer
    x = 242,738.82

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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.