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Finding the Fourth Proportional to 489,881.94, 734,869.38 and 190,385.64

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Solution

The fourth proportional to 489,881.94, 734,869.38 and 190,385.64 is: 285,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,881.94 : 734,869.38 = 190,385.64 : x
  2. Step 2: Convert to fraction form
    489,881.94/734,869.38 = 190,385.64/x
  3. Step 3: Cross multiply
    489,881.94x = 734,869.38 × 190,385.64
  4. Step 4: Simplify right side
    489,881.94x = 139,908,577,227.70
  5. Step 5: Solve for x
    x = 139,908,577,227.70/489,881.94
  6. Step 6: Final answer
    x = 285,596.52

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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.