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Finding the Fourth Proportional to 470,988.01, 649,980.60 and 269,822.89

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Solution

The fourth proportional to 470,988.01, 649,980.60 and 269,822.89 is: 372,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,988.01 : 649,980.60 = 269,822.89 : x
  2. Step 2: Convert to fraction form
    470,988.01/649,980.60 = 269,822.89/x
  3. Step 3: Cross multiply
    470,988.01x = 649,980.60 × 269,822.89
  4. Step 4: Simplify right side
    470,988.01x = 175,379,643,935.93
  5. Step 5: Solve for x
    x = 175,379,643,935.93/470,988.01
  6. Step 6: Final answer
    x = 372,365.41

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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.