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Finding the Fourth Proportional to 307,214.28, 423,957.80 and 171,256.86

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Solution

The fourth proportional to 307,214.28, 423,957.80 and 171,256.86 is: 236,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,214.28 : 423,957.80 = 171,256.86 : x
  2. Step 2: Convert to fraction form
    307,214.28/423,957.80 = 171,256.86/x
  3. Step 3: Cross multiply
    307,214.28x = 423,957.80 × 171,256.86
  4. Step 4: Simplify right side
    307,214.28x = 72,605,681,600.51
  5. Step 5: Solve for x
    x = 72,605,681,600.51/307,214.28
  6. Step 6: Final answer
    x = 236,335.63

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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.