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Finding the Fourth Proportional to 754,929, 1,041,809.31 and 415,404.54

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Solution

The fourth proportional to 754,929, 1,041,809.31 and 415,404.54 is: 573,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,929 : 1,041,809.31 = 415,404.54 : x
  2. Step 2: Convert to fraction form
    754,929/1,041,809.31 = 415,404.54/x
  3. Step 3: Cross multiply
    754,929x = 1,041,809.31 × 415,404.54
  4. Step 4: Simplify right side
    754,929x = 432,772,317,188.27
  5. Step 5: Solve for x
    x = 432,772,317,188.27/754,929
  6. Step 6: Final answer
    x = 573,262.28

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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.