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Finding the Fourth Proportional to 284,826.96, 426,866.76 and 209,594.88

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Solution

The fourth proportional to 284,826.96, 426,866.76 and 209,594.88 is: 314,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,826.96 : 426,866.76 = 209,594.88 : x
  2. Step 2: Convert to fraction form
    284,826.96/426,866.76 = 209,594.88/x
  3. Step 3: Cross multiply
    284,826.96x = 426,866.76 × 209,594.88
  4. Step 4: Simplify right side
    284,826.96x = 89,469,087,338.19
  5. Step 5: Solve for x
    x = 89,469,087,338.19/284,826.96
  6. Step 6: Final answer
    x = 314,117.34

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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.