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Finding the Fourth Proportional to 287,235.81, 431,050.55 and 100,247.31

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Solution

The fourth proportional to 287,235.81, 431,050.55 and 100,247.31 is: 150,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,235.81 : 431,050.55 = 100,247.31 : x
  2. Step 2: Convert to fraction form
    287,235.81/431,050.55 = 100,247.31/x
  3. Step 3: Cross multiply
    287,235.81x = 431,050.55 × 100,247.31
  4. Step 4: Simplify right side
    287,235.81x = 43,211,657,610.28
  5. Step 5: Solve for x
    x = 43,211,657,610.28/287,235.81
  6. Step 6: Final answer
    x = 150,439.66

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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.