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Finding the Fourth Proportional to 515,820.52, 711,832.71 and 289,466.02

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Solution

The fourth proportional to 515,820.52, 711,832.71 and 289,466.02 is: 399,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,820.52 : 711,832.71 = 289,466.02 : x
  2. Step 2: Convert to fraction form
    515,820.52/711,832.71 = 289,466.02/x
  3. Step 3: Cross multiply
    515,820.52x = 711,832.71 × 289,466.02
  4. Step 4: Simplify right side
    515,820.52x = 206,051,381,469.51
  5. Step 5: Solve for x
    x = 206,051,381,469.51/515,820.52
  6. Step 6: Final answer
    x = 399,463.33

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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.