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Finding the Fourth Proportional to 515,522.60, 711,419.65 and 286,114.44

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Solution

The fourth proportional to 515,522.60, 711,419.65 and 286,114.44 is: 394,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,522.60 : 711,419.65 = 286,114.44 : x
  2. Step 2: Convert to fraction form
    515,522.60/711,419.65 = 286,114.44/x
  3. Step 3: Cross multiply
    515,522.60x = 711,419.65 × 286,114.44
  4. Step 4: Simplify right side
    515,522.60x = 203,547,434,764.75
  5. Step 5: Solve for x
    x = 203,547,434,764.75/515,522.60
  6. Step 6: Final answer
    x = 394,837.07

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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.