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Finding the Fourth Proportional to 515,615.59, 711,538.81 and 286,159.56

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Solution

The fourth proportional to 515,615.59, 711,538.81 and 286,159.56 is: 394,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,615.59 : 711,538.81 = 286,159.56 : x
  2. Step 2: Convert to fraction form
    515,615.59/711,538.81 = 286,159.56/x
  3. Step 3: Cross multiply
    515,615.59x = 711,538.81 × 286,159.56
  4. Step 4: Simplify right side
    515,615.59x = 203,613,632,792.52
  5. Step 5: Solve for x
    x = 203,613,632,792.52/515,615.59
  6. Step 6: Final answer
    x = 394,894.25

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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.