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Finding the Fourth Proportional to 489,898.91, 734,777.08 and 152,861.15

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Solution

The fourth proportional to 489,898.91, 734,777.08 and 152,861.15 is: 229,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,898.91 : 734,777.08 = 152,861.15 : x
  2. Step 2: Convert to fraction form
    489,898.91/734,777.08 = 152,861.15/x
  3. Step 3: Cross multiply
    489,898.91x = 734,777.08 × 152,861.15
  4. Step 4: Simplify right side
    489,898.91x = 112,318,869,905.48
  5. Step 5: Solve for x
    x = 112,318,869,905.48/489,898.91
  6. Step 6: Final answer
    x = 229,269.48

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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.