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Finding the Fourth Proportional to 660,840, 911,961.63 and 359,034

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Solution

The fourth proportional to 660,840, 911,961.63 and 359,034 is: 495,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,840 : 911,961.63 = 359,034 : x
  2. Step 2: Convert to fraction form
    660,840/911,961.63 = 359,034/x
  3. Step 3: Cross multiply
    660,840x = 911,961.63 × 359,034
  4. Step 4: Simplify right side
    660,840x = 327,425,231,865.42
  5. Step 5: Solve for x
    x = 327,425,231,865.42/660,840
  6. Step 6: Final answer
    x = 495,468.24

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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.