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Finding the Fourth Proportional to 501,347.82, 691,861.13 and 286,487.37

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Solution

The fourth proportional to 501,347.82, 691,861.13 and 286,487.37 is: 395,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,347.82 : 691,861.13 = 286,487.37 : x
  2. Step 2: Convert to fraction form
    501,347.82/691,861.13 = 286,487.37/x
  3. Step 3: Cross multiply
    501,347.82x = 691,861.13 × 286,487.37
  4. Step 4: Simplify right side
    501,347.82x = 198,209,475,538.93
  5. Step 5: Solve for x
    x = 198,209,475,538.93/501,347.82
  6. Step 6: Final answer
    x = 395,353.22

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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.