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Finding the Fourth Proportional to 284,132.70, 426,429.45 and 274,916.70

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Solution

The fourth proportional to 284,132.70, 426,429.45 and 274,916.70 is: 412,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,132.70 : 426,429.45 = 274,916.70 : x
  2. Step 2: Convert to fraction form
    284,132.70/426,429.45 = 274,916.70/x
  3. Step 3: Cross multiply
    284,132.70x = 426,429.45 × 274,916.70
  4. Step 4: Simplify right side
    284,132.70x = 117,232,577,176.82
  5. Step 5: Solve for x
    x = 117,232,577,176.82/284,132.70
  6. Step 6: Final answer
    x = 412,597.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.