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Finding the Fourth Proportional to 539,883.98, 810,317.10 and 287,376.74

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Solution

The fourth proportional to 539,883.98, 810,317.10 and 287,376.74 is: 431,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,883.98 : 810,317.10 = 287,376.74 : x
  2. Step 2: Convert to fraction form
    539,883.98/810,317.10 = 287,376.74/x
  3. Step 3: Cross multiply
    539,883.98x = 810,317.10 × 287,376.74
  4. Step 4: Simplify right side
    539,883.98x = 232,866,286,564.25
  5. Step 5: Solve for x
    x = 232,866,286,564.25/539,883.98
  6. Step 6: Final answer
    x = 431,326.54

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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.