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Finding the Fourth Proportional to 501,346.57, 691,859.40 and 286,486.12

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Solution

The fourth proportional to 501,346.57, 691,859.40 and 286,486.12 is: 395,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,346.57 : 691,859.40 = 286,486.12 : x
  2. Step 2: Convert to fraction form
    501,346.57/691,859.40 = 286,486.12/x
  3. Step 3: Cross multiply
    501,346.57x = 691,859.40 × 286,486.12
  4. Step 4: Simplify right side
    501,346.57x = 198,208,111,632.23
  5. Step 5: Solve for x
    x = 198,208,111,632.23/501,346.57
  6. Step 6: Final answer
    x = 395,351.49

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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.