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Finding the Fourth Proportional to 500,211.06, 690,357 and 285,301.86

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Solution

The fourth proportional to 500,211.06, 690,357 and 285,301.86 is: 393,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,211.06 : 690,357 = 285,301.86 : x
  2. Step 2: Convert to fraction form
    500,211.06/690,357 = 285,301.86/x
  3. Step 3: Cross multiply
    500,211.06x = 690,357 × 285,301.86
  4. Step 4: Simplify right side
    500,211.06x = 196,960,136,164.02
  5. Step 5: Solve for x
    x = 196,960,136,164.02/500,211.06
  6. Step 6: Final answer
    x = 393,754.06

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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.