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Finding the Fourth Proportional to 307,392, 424,204.20 and 173,256

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Solution

The fourth proportional to 307,392, 424,204.20 and 173,256 is: 239,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,392 : 424,204.20 = 173,256 : x
  2. Step 2: Convert to fraction form
    307,392/424,204.20 = 173,256/x
  3. Step 3: Cross multiply
    307,392x = 424,204.20 × 173,256
  4. Step 4: Simplify right side
    307,392x = 73,495,922,875.20
  5. Step 5: Solve for x
    x = 73,495,922,875.20/307,392
  6. Step 6: Final answer
    x = 239,095.11

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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.