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Finding the Fourth Proportional to 470,988.36, 649,735.32 and 279,866.40

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Solution

The fourth proportional to 470,988.36, 649,735.32 and 279,866.40 is: 386,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,988.36 : 649,735.32 = 279,866.40 : x
  2. Step 2: Convert to fraction form
    470,988.36/649,735.32 = 279,866.40/x
  3. Step 3: Cross multiply
    470,988.36x = 649,735.32 × 279,866.40
  4. Step 4: Simplify right side
    470,988.36x = 181,839,084,961.25
  5. Step 5: Solve for x
    x = 181,839,084,961.25/470,988.36
  6. Step 6: Final answer
    x = 386,079.79

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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.