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Finding the Fourth Proportional to 190,285.40, 285,649.54 and 151,017.82

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Solution

The fourth proportional to 190,285.40, 285,649.54 and 151,017.82 is: 226,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,285.40 : 285,649.54 = 151,017.82 : x
  2. Step 2: Convert to fraction form
    190,285.40/285,649.54 = 151,017.82/x
  3. Step 3: Cross multiply
    190,285.40x = 285,649.54 × 151,017.82
  4. Step 4: Simplify right side
    190,285.40x = 43,138,169,723.13
  5. Step 5: Solve for x
    x = 43,138,169,723.13/190,285.40
  6. Step 6: Final answer
    x = 226,702.46

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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.