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Finding the Fourth Proportional to 517,363.20, 713,967.12 and 291,006.72

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Solution

The fourth proportional to 517,363.20, 713,967.12 and 291,006.72 is: 401,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,363.20 : 713,967.12 = 291,006.72 : x
  2. Step 2: Convert to fraction form
    517,363.20/713,967.12 = 291,006.72/x
  3. Step 3: Cross multiply
    517,363.20x = 713,967.12 × 291,006.72
  4. Step 4: Simplify right side
    517,363.20x = 207,769,229,779.05
  5. Step 5: Solve for x
    x = 207,769,229,779.05/517,363.20
  6. Step 6: Final answer
    x = 401,592.59

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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.