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Finding the Fourth Proportional to 307,851.94, 424,831.65 and 171,888.20

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Solution

The fourth proportional to 307,851.94, 424,831.65 and 171,888.20 is: 237,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.94 : 424,831.65 = 171,888.20 : x
  2. Step 2: Convert to fraction form
    307,851.94/424,831.65 = 171,888.20/x
  3. Step 3: Cross multiply
    307,851.94x = 424,831.65 × 171,888.20
  4. Step 4: Simplify right side
    307,851.94x = 73,023,546,445.91
  5. Step 5: Solve for x
    x = 73,023,546,445.91/307,851.94
  6. Step 6: Final answer
    x = 237,203.46

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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.