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Finding the Fourth Proportional to 469,865.14, 648,413.88 and 255,005.22

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Solution

The fourth proportional to 469,865.14, 648,413.88 and 255,005.22 is: 351,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865.14 : 648,413.88 = 255,005.22 : x
  2. Step 2: Convert to fraction form
    469,865.14/648,413.88 = 255,005.22/x
  3. Step 3: Cross multiply
    469,865.14x = 648,413.88 × 255,005.22
  4. Step 4: Simplify right side
    469,865.14x = 165,348,924,120.45
  5. Step 5: Solve for x
    x = 165,348,924,120.45/469,865.14
  6. Step 6: Final answer
    x = 351,907.20

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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.