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Finding the Fourth Proportional to 515,426.84, 711,328 and 286,027.56

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Solution

The fourth proportional to 515,426.84, 711,328 and 286,027.56 is: 394,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,426.84 : 711,328 = 286,027.56 : x
  2. Step 2: Convert to fraction form
    515,426.84/711,328 = 286,027.56/x
  3. Step 3: Cross multiply
    515,426.84x = 711,328 × 286,027.56
  4. Step 4: Simplify right side
    515,426.84x = 203,459,412,199.68
  5. Step 5: Solve for x
    x = 203,459,412,199.68/515,426.84
  6. Step 6: Final answer
    x = 394,739.65

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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.