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Finding the Fourth Proportional to 501,497.48, 692,078.66 and 275,142.98

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Solution

The fourth proportional to 501,497.48, 692,078.66 and 275,142.98 is: 379,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,497.48 : 692,078.66 = 275,142.98 : x
  2. Step 2: Convert to fraction form
    501,497.48/692,078.66 = 275,142.98/x
  3. Step 3: Cross multiply
    501,497.48x = 692,078.66 × 275,142.98
  4. Step 4: Simplify right side
    501,497.48x = 190,420,580,070.70
  5. Step 5: Solve for x
    x = 190,420,580,070.70/501,497.48
  6. Step 6: Final answer
    x = 379,703.97

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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.