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Finding the Fourth Proportional to 517,211.42, 713,738.16 and 287,769.20

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Solution

The fourth proportional to 517,211.42, 713,738.16 and 287,769.20 is: 397,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,211.42 : 713,738.16 = 287,769.20 : x
  2. Step 2: Convert to fraction form
    517,211.42/713,738.16 = 287,769.20/x
  3. Step 3: Cross multiply
    517,211.42x = 713,738.16 × 287,769.20
  4. Step 4: Simplify right side
    517,211.42x = 205,391,855,743.98
  5. Step 5: Solve for x
    x = 205,391,855,743.98/517,211.42
  6. Step 6: Final answer
    x = 397,113.93

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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.