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Finding the Fourth Proportional to 288,113.49, 431,124.39 and 208,311.21

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Solution

The fourth proportional to 288,113.49, 431,124.39 and 208,311.21 is: 311,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,113.49 : 431,124.39 = 208,311.21 : x
  2. Step 2: Convert to fraction form
    288,113.49/431,124.39 = 208,311.21/x
  3. Step 3: Cross multiply
    288,113.49x = 431,124.39 × 208,311.21
  4. Step 4: Simplify right side
    288,113.49x = 89,808,043,341.41
  5. Step 5: Solve for x
    x = 89,808,043,341.41/288,113.49
  6. Step 6: Final answer
    x = 311,710.65

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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.