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Finding the Fourth Proportional to 284,254.50, 426,649.86 and 209,145.90

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Solution

The fourth proportional to 284,254.50, 426,649.86 and 209,145.90 is: 313,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,254.50 : 426,649.86 = 209,145.90 : x
  2. Step 2: Convert to fraction form
    284,254.50/426,649.86 = 209,145.90/x
  3. Step 3: Cross multiply
    284,254.50x = 426,649.86 × 209,145.90
  4. Step 4: Simplify right side
    284,254.50x = 89,232,068,954.57
  5. Step 5: Solve for x
    x = 89,232,068,954.57/284,254.50
  6. Step 6: Final answer
    x = 313,916.12

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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.