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Finding the Fourth Proportional to 420,391.50, 580,140.28 and 269,488.50

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Solution

The fourth proportional to 420,391.50, 580,140.28 and 269,488.50 is: 371,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,391.50 : 580,140.28 = 269,488.50 : x
  2. Step 2: Convert to fraction form
    420,391.50/580,140.28 = 269,488.50/x
  3. Step 3: Cross multiply
    420,391.50x = 580,140.28 × 269,488.50
  4. Step 4: Simplify right side
    420,391.50x = 156,341,133,846.78
  5. Step 5: Solve for x
    x = 156,341,133,846.78/420,391.50
  6. Step 6: Final answer
    x = 371,894.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.