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Finding the Fourth Proportional to 284,024.78, 391,955.46 and 156,704.12

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Solution

The fourth proportional to 284,024.78, 391,955.46 and 156,704.12 is: 216,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,024.78 : 391,955.46 = 156,704.12 : x
  2. Step 2: Convert to fraction form
    284,024.78/391,955.46 = 156,704.12/x
  3. Step 3: Cross multiply
    284,024.78x = 391,955.46 × 156,704.12
  4. Step 4: Simplify right side
    284,024.78x = 61,421,035,438.50
  5. Step 5: Solve for x
    x = 61,421,035,438.50/284,024.78
  6. Step 6: Final answer
    x = 216,252.38

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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.