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Finding the Fourth Proportional to 307,746.32, 461,671.32 and 141,530

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Solution

The fourth proportional to 307,746.32, 461,671.32 and 141,530 is: 212,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,746.32 : 461,671.32 = 141,530 : x
  2. Step 2: Convert to fraction form
    307,746.32/461,671.32 = 141,530/x
  3. Step 3: Cross multiply
    307,746.32x = 461,671.32 × 141,530
  4. Step 4: Simplify right side
    307,746.32x = 65,340,341,919.60
  5. Step 5: Solve for x
    x = 65,340,341,919.60/307,746.32
  6. Step 6: Final answer
    x = 212,318.84

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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.