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Finding the Fourth Proportional to 307,502.64, 424,361.16 and 171,535.62

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Solution

The fourth proportional to 307,502.64, 424,361.16 and 171,535.62 is: 236,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,502.64 : 424,361.16 = 171,535.62 : x
  2. Step 2: Convert to fraction form
    307,502.64/424,361.16 = 171,535.62/x
  3. Step 3: Cross multiply
    307,502.64x = 424,361.16 × 171,535.62
  4. Step 4: Simplify right side
    307,502.64x = 72,793,054,684.52
  5. Step 5: Solve for x
    x = 72,793,054,684.52/307,502.64
  6. Step 6: Final answer
    x = 236,723.35

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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.