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Finding the Fourth Proportional to 393,133.43, 542,393.63 and 320,411.28

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Solution

The fourth proportional to 393,133.43, 542,393.63 and 320,411.28 is: 442,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,133.43 : 542,393.63 = 320,411.28 : x
  2. Step 2: Convert to fraction form
    393,133.43/542,393.63 = 320,411.28/x
  3. Step 3: Cross multiply
    393,133.43x = 542,393.63 × 320,411.28
  4. Step 4: Simplify right side
    393,133.43x = 173,789,037,636.96
  5. Step 5: Solve for x
    x = 173,789,037,636.96/393,133.43
  6. Step 6: Final answer
    x = 442,061.20

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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.