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Finding the Fourth Proportional to 515,667.87, 711,610.65 and 286,211.79

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Solution

The fourth proportional to 515,667.87, 711,610.65 and 286,211.79 is: 394,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,667.87 : 711,610.65 = 286,211.79 : x
  2. Step 2: Convert to fraction form
    515,667.87/711,610.65 = 286,211.79/x
  3. Step 3: Cross multiply
    515,667.87x = 711,610.65 × 286,211.79
  4. Step 4: Simplify right side
    515,667.87x = 203,671,357,919.56
  5. Step 5: Solve for x
    x = 203,671,357,919.56/515,667.87
  6. Step 6: Final answer
    x = 394,966.16

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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.