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Finding the Fourth Proportional to 287,454.81, 431,245.32 and 85,035.06

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Solution

The fourth proportional to 287,454.81, 431,245.32 and 85,035.06 is: 127,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,454.81 : 431,245.32 = 85,035.06 : x
  2. Step 2: Convert to fraction form
    287,454.81/431,245.32 = 85,035.06/x
  3. Step 3: Cross multiply
    287,454.81x = 431,245.32 × 85,035.06
  4. Step 4: Simplify right side
    287,454.81x = 36,670,973,437.53
  5. Step 5: Solve for x
    x = 36,670,973,437.53/287,454.81
  6. Step 6: Final answer
    x = 127,571.27

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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.