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Finding the Fourth Proportional to 559,646.88, 772,318.16 and 305,003.53

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Solution

The fourth proportional to 559,646.88, 772,318.16 and 305,003.53 is: 420,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,646.88 : 772,318.16 = 305,003.53 : x
  2. Step 2: Convert to fraction form
    559,646.88/772,318.16 = 305,003.53/x
  3. Step 3: Cross multiply
    559,646.88x = 772,318.16 × 305,003.53
  4. Step 4: Simplify right side
    559,646.88x = 235,559,765,083.11
  5. Step 5: Solve for x
    x = 235,559,765,083.11/559,646.88
  6. Step 6: Final answer
    x = 420,907.85

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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.