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Finding the Fourth Proportional to 305,237.70, 457,856.55 and 200,117.70

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Solution

The fourth proportional to 305,237.70, 457,856.55 and 200,117.70 is: 300,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,237.70 : 457,856.55 = 200,117.70 : x
  2. Step 2: Convert to fraction form
    305,237.70/457,856.55 = 200,117.70/x
  3. Step 3: Cross multiply
    305,237.70x = 457,856.55 × 200,117.70
  4. Step 4: Simplify right side
    305,237.70x = 91,625,199,715.94
  5. Step 5: Solve for x
    x = 91,625,199,715.94/305,237.70
  6. Step 6: Final answer
    x = 300,176.55

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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.