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Finding the Fourth Proportional to 517,301.52, 713,869.22 and 290,947.02

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Solution

The fourth proportional to 517,301.52, 713,869.22 and 290,947.02 is: 401,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,301.52 : 713,869.22 = 290,947.02 : x
  2. Step 2: Convert to fraction form
    517,301.52/713,869.22 = 290,947.02/x
  3. Step 3: Cross multiply
    517,301.52x = 713,869.22 × 290,947.02
  4. Step 4: Simplify right side
    517,301.52x = 207,698,122,956.09
  5. Step 5: Solve for x
    x = 207,698,122,956.09/517,301.52
  6. Step 6: Final answer
    x = 401,503.02

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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.