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Finding the Fourth Proportional to 284,951.70, 427,427.55 and 282,983.40

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Solution

The fourth proportional to 284,951.70, 427,427.55 and 282,983.40 is: 424,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951.70 : 427,427.55 = 282,983.40 : x
  2. Step 2: Convert to fraction form
    284,951.70/427,427.55 = 282,983.40/x
  3. Step 3: Cross multiply
    284,951.70x = 427,427.55 × 282,983.40
  4. Step 4: Simplify right side
    284,951.70x = 120,954,901,352.67
  5. Step 5: Solve for x
    x = 120,954,901,352.67/284,951.70
  6. Step 6: Final answer
    x = 424,475.10

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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.