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Finding the Fourth Proportional to 486,046, 729,107.16 and 131,054.68

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Solution

The fourth proportional to 486,046, 729,107.16 and 131,054.68 is: 196,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,046 : 729,107.16 = 131,054.68 : x
  2. Step 2: Convert to fraction form
    486,046/729,107.16 = 131,054.68/x
  3. Step 3: Cross multiply
    486,046x = 729,107.16 × 131,054.68
  4. Step 4: Simplify right side
    486,046x = 95,552,905,539.51
  5. Step 5: Solve for x
    x = 95,552,905,539.51/486,046
  6. Step 6: Final answer
    x = 196,592.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.