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Finding the Fourth Proportional to 393,255, 589,884.70 and 97,767

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Solution

The fourth proportional to 393,255, 589,884.70 and 97,767 is: 146,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,255 : 589,884.70 = 97,767 : x
  2. Step 2: Convert to fraction form
    393,255/589,884.70 = 97,767/x
  3. Step 3: Cross multiply
    393,255x = 589,884.70 × 97,767
  4. Step 4: Simplify right side
    393,255x = 57,671,257,464.90
  5. Step 5: Solve for x
    x = 57,671,257,464.90/393,255
  6. Step 6: Final answer
    x = 146,651.05

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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.