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Finding the Fourth Proportional to 504,022.59, 695,565.50 and 289,200.87

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Solution

The fourth proportional to 504,022.59, 695,565.50 and 289,200.87 is: 399,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,022.59 : 695,565.50 = 289,200.87 : x
  2. Step 2: Convert to fraction form
    504,022.59/695,565.50 = 289,200.87/x
  3. Step 3: Cross multiply
    504,022.59x = 695,565.50 × 289,200.87
  4. Step 4: Simplify right side
    504,022.59x = 201,158,146,295.98
  5. Step 5: Solve for x
    x = 201,158,146,295.98/504,022.59
  6. Step 6: Final answer
    x = 399,105.42

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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.