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Finding the Fourth Proportional to 501,189.84, 691,637.40 and 274,830.48

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Solution

The fourth proportional to 501,189.84, 691,637.40 and 274,830.48 is: 379,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,189.84 : 691,637.40 = 274,830.48 : x
  2. Step 2: Convert to fraction form
    501,189.84/691,637.40 = 274,830.48/x
  3. Step 3: Cross multiply
    501,189.84x = 691,637.40 × 274,830.48
  4. Step 4: Simplify right side
    501,189.84x = 190,083,038,627.95
  5. Step 5: Solve for x
    x = 190,083,038,627.95/501,189.84
  6. Step 6: Final answer
    x = 379,263.55

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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.