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Finding the Fourth Proportional to 519,029.43, 716,259.61 and 289,573.06

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Solution

The fourth proportional to 519,029.43, 716,259.61 and 289,573.06 is: 399,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,029.43 : 716,259.61 = 289,573.06 : x
  2. Step 2: Convert to fraction form
    519,029.43/716,259.61 = 289,573.06/x
  3. Step 3: Cross multiply
    519,029.43x = 716,259.61 × 289,573.06
  4. Step 4: Simplify right side
    519,029.43x = 207,409,487,022.11
  5. Step 5: Solve for x
    x = 207,409,487,022.11/519,029.43
  6. Step 6: Final answer
    x = 399,610.26

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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.