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Finding the Fourth Proportional to 523,765.20, 722,776.56 and 320,157.12

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Solution

The fourth proportional to 523,765.20, 722,776.56 and 320,157.12 is: 441,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,765.20 : 722,776.56 = 320,157.12 : x
  2. Step 2: Convert to fraction form
    523,765.20/722,776.56 = 320,157.12/x
  3. Step 3: Cross multiply
    523,765.20x = 722,776.56 × 320,157.12
  4. Step 4: Simplify right side
    523,765.20x = 231,402,061,853.11
  5. Step 5: Solve for x
    x = 231,402,061,853.11/523,765.20
  6. Step 6: Final answer
    x = 441,804.96

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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.