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Finding the Fourth Proportional to 465,335.58, 642,146.54 and 284,350.40

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Solution

The fourth proportional to 465,335.58, 642,146.54 and 284,350.40 is: 392,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,335.58 : 642,146.54 = 284,350.40 : x
  2. Step 2: Convert to fraction form
    465,335.58/642,146.54 = 284,350.40/x
  3. Step 3: Cross multiply
    465,335.58x = 642,146.54 × 284,350.40
  4. Step 4: Simplify right side
    465,335.58x = 182,594,623,283.18
  5. Step 5: Solve for x
    x = 182,594,623,283.18/465,335.58
  6. Step 6: Final answer
    x = 392,393.42

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1.5x scale

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.