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Finding the Fourth Proportional to 478,026.09, 716,871.87 and 140,977.26

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Solution

The fourth proportional to 478,026.09, 716,871.87 and 140,977.26 is: 211,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,026.09 : 716,871.87 = 140,977.26 : x
  2. Step 2: Convert to fraction form
    478,026.09/716,871.87 = 140,977.26/x
  3. Step 3: Cross multiply
    478,026.09x = 716,871.87 × 140,977.26
  4. Step 4: Simplify right side
    478,026.09x = 101,062,632,003.68
  5. Step 5: Solve for x
    x = 101,062,632,003.68/478,026.09
  6. Step 6: Final answer
    x = 211,416.56

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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.