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Finding the Fourth Proportional to 489,165.80, 733,876.28 and 189,656.15

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Solution

The fourth proportional to 489,165.80, 733,876.28 and 189,656.15 is: 284,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,165.80 : 733,876.28 = 189,656.15 : x
  2. Step 2: Convert to fraction form
    489,165.80/733,876.28 = 189,656.15/x
  3. Step 3: Cross multiply
    489,165.80x = 733,876.28 × 189,656.15
  4. Step 4: Simplify right side
    489,165.80x = 139,184,148,892.84
  5. Step 5: Solve for x
    x = 139,184,148,892.84/489,165.80
  6. Step 6: Final answer
    x = 284,533.69

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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.