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Finding the Fourth Proportional to 519,814.13, 717,345.65 and 281,350.13

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Solution

The fourth proportional to 519,814.13, 717,345.65 and 281,350.13 is: 388,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,814.13 : 717,345.65 = 281,350.13 : x
  2. Step 2: Convert to fraction form
    519,814.13/717,345.65 = 281,350.13/x
  3. Step 3: Cross multiply
    519,814.13x = 717,345.65 × 281,350.13
  4. Step 4: Simplify right side
    519,814.13x = 201,825,288,999.08
  5. Step 5: Solve for x
    x = 201,825,288,999.08/519,814.13
  6. Step 6: Final answer
    x = 388,264.34

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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.