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Finding the Fourth Proportional to 539,499.49, 744,509.37 and 297,782.13

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Solution

The fourth proportional to 539,499.49, 744,509.37 and 297,782.13 is: 410,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,499.49 : 744,509.37 = 297,782.13 : x
  2. Step 2: Convert to fraction form
    539,499.49/744,509.37 = 297,782.13/x
  3. Step 3: Cross multiply
    539,499.49x = 744,509.37 × 297,782.13
  4. Step 4: Simplify right side
    539,499.49x = 221,701,584,049.26
  5. Step 5: Solve for x
    x = 221,701,584,049.26/539,499.49
  6. Step 6: Final answer
    x = 410,939.37

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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.