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Finding the Fourth Proportional to 501,468.90, 691,858.77 and 286,456.74

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Solution

The fourth proportional to 501,468.90, 691,858.77 and 286,456.74 is: 395,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,468.90 : 691,858.77 = 286,456.74 : x
  2. Step 2: Convert to fraction form
    501,468.90/691,858.77 = 286,456.74/x
  3. Step 3: Cross multiply
    501,468.90x = 691,858.77 × 286,456.74
  4. Step 4: Simplify right side
    501,468.90x = 198,187,607,794.61
  5. Step 5: Solve for x
    x = 198,187,607,794.61/501,468.90
  6. Step 6: Final answer
    x = 395,214.16

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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.