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Finding the Fourth Proportional to 307,622.64, 424,502.96 and 173,478

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Solution

The fourth proportional to 307,622.64, 424,502.96 and 173,478 is: 239,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,622.64 : 424,502.96 = 173,478 : x
  2. Step 2: Convert to fraction form
    307,622.64/424,502.96 = 173,478/x
  3. Step 3: Cross multiply
    307,622.64x = 424,502.96 × 173,478
  4. Step 4: Simplify right side
    307,622.64x = 73,641,924,494.88
  5. Step 5: Solve for x
    x = 73,641,924,494.88/307,622.64
  6. Step 6: Final answer
    x = 239,390.46

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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.