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Finding the Fourth Proportional to 468,392, 646,204.56 and 307,335.92

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Solution

The fourth proportional to 468,392, 646,204.56 and 307,335.92 is: 424,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,392 : 646,204.56 = 307,335.92 : x
  2. Step 2: Convert to fraction form
    468,392/646,204.56 = 307,335.92/x
  3. Step 3: Cross multiply
    468,392x = 646,204.56 × 307,335.92
  4. Step 4: Simplify right side
    468,392x = 198,601,872,955.80
  5. Step 5: Solve for x
    x = 198,601,872,955.80/468,392
  6. Step 6: Final answer
    x = 424,007.82

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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.