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Finding the Fourth Proportional to 285,443.80, 393,895.50 and 156,356.46

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Solution

The fourth proportional to 285,443.80, 393,895.50 and 156,356.46 is: 215,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,443.80 : 393,895.50 = 156,356.46 : x
  2. Step 2: Convert to fraction form
    285,443.80/393,895.50 = 156,356.46/x
  3. Step 3: Cross multiply
    285,443.80x = 393,895.50 × 156,356.46
  4. Step 4: Simplify right side
    285,443.80x = 61,588,107,365.56
  5. Step 5: Solve for x
    x = 61,588,107,365.56/285,443.80
  6. Step 6: Final answer
    x = 215,762.64

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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.