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Finding the Fourth Proportional to 725,978.74, 1,001,809.51 and 403,681.92

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Solution

The fourth proportional to 725,978.74, 1,001,809.51 and 403,681.92 is: 557,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,978.74 : 1,001,809.51 = 403,681.92 : x
  2. Step 2: Convert to fraction form
    725,978.74/1,001,809.51 = 403,681.92/x
  3. Step 3: Cross multiply
    725,978.74x = 1,001,809.51 × 403,681.92
  4. Step 4: Simplify right side
    725,978.74x = 404,412,381,462.01
  5. Step 5: Solve for x
    x = 404,412,381,462.01/725,978.74
  6. Step 6: Final answer
    x = 557,058.16

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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.