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Finding the Fourth Proportional to 400,695.96, 601,063.38 and 330,447

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Solution

The fourth proportional to 400,695.96, 601,063.38 and 330,447 is: 495,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,695.96 : 601,063.38 = 330,447 : x
  2. Step 2: Convert to fraction form
    400,695.96/601,063.38 = 330,447/x
  3. Step 3: Cross multiply
    400,695.96x = 601,063.38 × 330,447
  4. Step 4: Simplify right side
    400,695.96x = 198,619,590,730.86
  5. Step 5: Solve for x
    x = 198,619,590,730.86/400,695.96
  6. Step 6: Final answer
    x = 495,686.53

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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.