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Finding the Fourth Proportional to 515,878.34, 711,914.94 and 286,432.34

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Solution

The fourth proportional to 515,878.34, 711,914.94 and 286,432.34 is: 395,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,878.34 : 711,914.94 = 286,432.34 : x
  2. Step 2: Convert to fraction form
    515,878.34/711,914.94 = 286,432.34/x
  3. Step 3: Cross multiply
    515,878.34x = 711,914.94 × 286,432.34
  4. Step 4: Simplify right side
    515,878.34x = 203,915,458,585.59
  5. Step 5: Solve for x
    x = 203,915,458,585.59/515,878.34
  6. Step 6: Final answer
    x = 395,278.20

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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.