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Finding the Fourth Proportional to 489,824.80, 734,737.20 and 209,370.40

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Solution

The fourth proportional to 489,824.80, 734,737.20 and 209,370.40 is: 314,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,824.80 : 734,737.20 = 209,370.40 : x
  2. Step 2: Convert to fraction form
    489,824.80/734,737.20 = 209,370.40/x
  3. Step 3: Cross multiply
    489,824.80x = 734,737.20 × 209,370.40
  4. Step 4: Simplify right side
    489,824.80x = 153,832,221,458.88
  5. Step 5: Solve for x
    x = 153,832,221,458.88/489,824.80
  6. Step 6: Final answer
    x = 314,055.60

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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.