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Finding the Fourth Proportional to 489,677.45, 734,520.83 and 148,123.53

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Solution

The fourth proportional to 489,677.45, 734,520.83 and 148,123.53 is: 222,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,677.45 : 734,520.83 = 148,123.53 : x
  2. Step 2: Convert to fraction form
    489,677.45/734,520.83 = 148,123.53/x
  3. Step 3: Cross multiply
    489,677.45x = 734,520.83 × 148,123.53
  4. Step 4: Simplify right side
    489,677.45x = 108,799,817,457.51
  5. Step 5: Solve for x
    x = 108,799,817,457.51/489,677.45
  6. Step 6: Final answer
    x = 222,186.70

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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.