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Finding the Fourth Proportional to 403,378.98, 556,835.27 and 287,167.47

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Solution

The fourth proportional to 403,378.98, 556,835.27 and 287,167.47 is: 396,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,378.98 : 556,835.27 = 287,167.47 : x
  2. Step 2: Convert to fraction form
    403,378.98/556,835.27 = 287,167.47/x
  3. Step 3: Cross multiply
    403,378.98x = 556,835.27 × 287,167.47
  4. Step 4: Simplify right side
    403,378.98x = 159,904,975,692.67
  5. Step 5: Solve for x
    x = 159,904,975,692.67/403,378.98
  6. Step 6: Final answer
    x = 396,413.75

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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.