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Finding the Fourth Proportional to 517,259.52, 713,811.29 and 290,905.02

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Solution

The fourth proportional to 517,259.52, 713,811.29 and 290,905.02 is: 401,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,259.52 : 713,811.29 = 290,905.02 : x
  2. Step 2: Convert to fraction form
    517,259.52/713,811.29 = 290,905.02/x
  3. Step 3: Cross multiply
    517,259.52x = 713,811.29 × 290,905.02
  4. Step 4: Simplify right side
    517,259.52x = 207,651,286,139.15
  5. Step 5: Solve for x
    x = 207,651,286,139.15/517,259.52
  6. Step 6: Final answer
    x = 401,445.07

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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.