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Finding the Fourth Proportional to 489,210.40, 732,908.40 and 278,221.60

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Solution

The fourth proportional to 489,210.40, 732,908.40 and 278,221.60 is: 416,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,210.40 : 732,908.40 = 278,221.60 : x
  2. Step 2: Convert to fraction form
    489,210.40/732,908.40 = 278,221.60/x
  3. Step 3: Cross multiply
    489,210.40x = 732,908.40 × 278,221.60
  4. Step 4: Simplify right side
    489,210.40x = 203,910,947,701.44
  5. Step 5: Solve for x
    x = 203,910,947,701.44/489,210.40
  6. Step 6: Final answer
    x = 416,816.46

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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.