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Finding the Fourth Proportional to 489,428.40, 734,410.08 and 189,920.76

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Solution

The fourth proportional to 489,428.40, 734,410.08 and 189,920.76 is: 284,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,428.40 : 734,410.08 = 189,920.76 : x
  2. Step 2: Convert to fraction form
    489,428.40/734,410.08 = 189,920.76/x
  3. Step 3: Cross multiply
    489,428.40x = 734,410.08 × 189,920.76
  4. Step 4: Simplify right side
    489,428.40x = 139,479,720,545.26
  5. Step 5: Solve for x
    x = 139,479,720,545.26/489,428.40
  6. Step 6: Final answer
    x = 284,984.93

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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.