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Finding the Fourth Proportional to 650,136, 897,189.84 and 363,637.68

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Solution

The fourth proportional to 650,136, 897,189.84 and 363,637.68 is: 501,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,136 : 897,189.84 = 363,637.68 : x
  2. Step 2: Convert to fraction form
    650,136/897,189.84 = 363,637.68/x
  3. Step 3: Cross multiply
    650,136x = 897,189.84 × 363,637.68
  4. Step 4: Simplify right side
    650,136x = 326,252,031,937.17
  5. Step 5: Solve for x
    x = 326,252,031,937.17/650,136
  6. Step 6: Final answer
    x = 501,821.21

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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.