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Finding the Fourth Proportional to 470,490.40, 649,265.52 and 255,625.60

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Solution

The fourth proportional to 470,490.40, 649,265.52 and 255,625.60 is: 352,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,490.40 : 649,265.52 = 255,625.60 : x
  2. Step 2: Convert to fraction form
    470,490.40/649,265.52 = 255,625.60/x
  3. Step 3: Cross multiply
    470,490.40x = 649,265.52 × 255,625.60
  4. Step 4: Simplify right side
    470,490.40x = 165,968,888,109.31
  5. Step 5: Solve for x
    x = 165,968,888,109.31/470,490.40
  6. Step 6: Final answer
    x = 352,757.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.