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Finding the Fourth Proportional to 517,026.54, 713,563.11 and 290,715.78

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Solution

The fourth proportional to 517,026.54, 713,563.11 and 290,715.78 is: 401,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,026.54 : 713,563.11 = 290,715.78 : x
  2. Step 2: Convert to fraction form
    517,026.54/713,563.11 = 290,715.78/x
  3. Step 3: Cross multiply
    517,026.54x = 713,563.11 × 290,715.78
  4. Step 4: Simplify right side
    517,026.54x = 207,444,056,102.88
  5. Step 5: Solve for x
    x = 207,444,056,102.88/517,026.54
  6. Step 6: Final answer
    x = 401,225.16

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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.