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Finding the Fourth Proportional to 539,714.81, 744,872.05 and 313,360.31

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Solution

The fourth proportional to 539,714.81, 744,872.05 and 313,360.31 is: 432,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,714.81 : 744,872.05 = 313,360.31 : x
  2. Step 2: Convert to fraction form
    539,714.81/744,872.05 = 313,360.31/x
  3. Step 3: Cross multiply
    539,714.81x = 744,872.05 × 313,360.31
  4. Step 4: Simplify right side
    539,714.81x = 233,413,338,752.22
  5. Step 5: Solve for x
    x = 233,413,338,752.22/539,714.81
  6. Step 6: Final answer
    x = 432,475.32

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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.