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Finding the Fourth Proportional to 284,820.96, 426,857.76 and 209,588.88

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Solution

The fourth proportional to 284,820.96, 426,857.76 and 209,588.88 is: 314,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,820.96 : 426,857.76 = 209,588.88 : x
  2. Step 2: Convert to fraction form
    284,820.96/426,857.76 = 209,588.88/x
  3. Step 3: Cross multiply
    284,820.96x = 426,857.76 × 209,588.88
  4. Step 4: Simplify right side
    284,820.96x = 89,464,639,837.71
  5. Step 5: Solve for x
    x = 89,464,639,837.71/284,820.96
  6. Step 6: Final answer
    x = 314,108.34

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1.5x scale

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.