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Finding the Fourth Proportional to 713,814.46, 985,047.03 and 391,521.74

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Solution

The fourth proportional to 713,814.46, 985,047.03 and 391,521.74 is: 540,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,814.46 : 985,047.03 = 391,521.74 : x
  2. Step 2: Convert to fraction form
    713,814.46/985,047.03 = 391,521.74/x
  3. Step 3: Cross multiply
    713,814.46x = 985,047.03 × 391,521.74
  4. Step 4: Simplify right side
    713,814.46x = 385,667,322,242.20
  5. Step 5: Solve for x
    x = 385,667,322,242.20/713,814.46
  6. Step 6: Final answer
    x = 540,290.71

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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.