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Finding the Fourth Proportional to 284,309.76, 425,538.76 and 209,400.40

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Solution

The fourth proportional to 284,309.76, 425,538.76 and 209,400.40 is: 313,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,309.76 : 425,538.76 = 209,400.40 : x
  2. Step 2: Convert to fraction form
    284,309.76/425,538.76 = 209,400.40/x
  3. Step 3: Cross multiply
    284,309.76x = 425,538.76 × 209,400.40
  4. Step 4: Simplify right side
    284,309.76x = 89,107,986,559.50
  5. Step 5: Solve for x
    x = 89,107,986,559.50/284,309.76
  6. Step 6: Final answer
    x = 313,418.67

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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.