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Finding the Fourth Proportional to 539,129.64, 743,967 and 297,412.68

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Solution

The fourth proportional to 539,129.64, 743,967 and 297,412.68 is: 410,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,129.64 : 743,967 = 297,412.68 : x
  2. Step 2: Convert to fraction form
    539,129.64/743,967 = 297,412.68/x
  3. Step 3: Cross multiply
    539,129.64x = 743,967 × 297,412.68
  4. Step 4: Simplify right side
    539,129.64x = 221,265,219,301.56
  5. Step 5: Solve for x
    x = 221,265,219,301.56/539,129.64
  6. Step 6: Final answer
    x = 410,411.90

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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.