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Finding the Fourth Proportional to 489,912.80, 734,869.20 and 209,458.40

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Solution

The fourth proportional to 489,912.80, 734,869.20 and 209,458.40 is: 314,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,912.80 : 734,869.20 = 209,458.40 : x
  2. Step 2: Convert to fraction form
    489,912.80/734,869.20 = 209,458.40/x
  3. Step 3: Cross multiply
    489,912.80x = 734,869.20 × 209,458.40
  4. Step 4: Simplify right side
    489,912.80x = 153,924,526,841.28
  5. Step 5: Solve for x
    x = 153,924,526,841.28/489,912.80
  6. Step 6: Final answer
    x = 314,187.60

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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.