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Finding the Fourth Proportional to 393,344.40, 590,038.56 and 112,854

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Solution

The fourth proportional to 393,344.40, 590,038.56 and 112,854 is: 169,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,344.40 : 590,038.56 = 112,854 : x
  2. Step 2: Convert to fraction form
    393,344.40/590,038.56 = 112,854/x
  3. Step 3: Cross multiply
    393,344.40x = 590,038.56 × 112,854
  4. Step 4: Simplify right side
    393,344.40x = 66,588,211,650.24
  5. Step 5: Solve for x
    x = 66,588,211,650.24/393,344.40
  6. Step 6: Final answer
    x = 169,287.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.