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Finding the Fourth Proportional to 489,843.60, 735,045.72 and 190,285.36

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Solution

The fourth proportional to 489,843.60, 735,045.72 and 190,285.36 is: 285,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,843.60 : 735,045.72 = 190,285.36 : x
  2. Step 2: Convert to fraction form
    489,843.60/735,045.72 = 190,285.36/x
  3. Step 3: Cross multiply
    489,843.60x = 735,045.72 × 190,285.36
  4. Step 4: Simplify right side
    489,843.60x = 139,868,439,446.66
  5. Step 5: Solve for x
    x = 139,868,439,446.66/489,843.60
  6. Step 6: Final answer
    x = 285,536.93

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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.