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Finding the Fourth Proportional to 515,855.13, 711,902.31 and 286,412.43

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Solution

The fourth proportional to 515,855.13, 711,902.31 and 286,412.43 is: 395,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,855.13 : 711,902.31 = 286,412.43 : x
  2. Step 2: Convert to fraction form
    515,855.13/711,902.31 = 286,412.43/x
  3. Step 3: Cross multiply
    515,855.13x = 711,902.31 × 286,412.43
  4. Step 4: Simplify right side
    515,855.13x = 203,897,670,529.71
  5. Step 5: Solve for x
    x = 203,897,670,529.71/515,855.13
  6. Step 6: Final answer
    x = 395,261.50

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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.