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Finding the Fourth Proportional to 489,800.16, 734,603.52 and 134,722.56

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Solution

The fourth proportional to 489,800.16, 734,603.52 and 134,722.56 is: 202,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,800.16 : 734,603.52 = 134,722.56 : x
  2. Step 2: Convert to fraction form
    489,800.16/734,603.52 = 134,722.56/x
  3. Step 3: Cross multiply
    489,800.16x = 734,603.52 × 134,722.56
  4. Step 4: Simplify right side
    489,800.16x = 98,967,666,799.41
  5. Step 5: Solve for x
    x = 98,967,666,799.41/489,800.16
  6. Step 6: Final answer
    x = 202,057.24

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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.