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Finding the Fourth Proportional to 681,271.55, 940,109.76 and 409,177.77

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Solution

The fourth proportional to 681,271.55, 940,109.76 and 409,177.77 is: 564,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,271.55 : 940,109.76 = 409,177.77 : x
  2. Step 2: Convert to fraction form
    681,271.55/940,109.76 = 409,177.77/x
  3. Step 3: Cross multiply
    681,271.55x = 940,109.76 × 409,177.77
  4. Step 4: Simplify right side
    681,271.55x = 384,672,015,152.04
  5. Step 5: Solve for x
    x = 384,672,015,152.04/681,271.55
  6. Step 6: Final answer
    x = 564,638.31

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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.