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Finding the Fourth Proportional to 514,690.99, 710,301.89 and 285,243.50

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Solution

The fourth proportional to 514,690.99, 710,301.89 and 285,243.50 is: 393,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,690.99 : 710,301.89 = 285,243.50 : x
  2. Step 2: Convert to fraction form
    514,690.99/710,301.89 = 285,243.50/x
  3. Step 3: Cross multiply
    514,690.99x = 710,301.89 × 285,243.50
  4. Step 4: Simplify right side
    514,690.99x = 202,608,997,160.22
  5. Step 5: Solve for x
    x = 202,608,997,160.22/514,690.99
  6. Step 6: Final answer
    x = 393,651.73

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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.