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Finding the Fourth Proportional to 470,733.40, 649,760.70 and 300,968.20

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Solution

The fourth proportional to 470,733.40, 649,760.70 and 300,968.20 is: 415,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,733.40 : 649,760.70 = 300,968.20 : x
  2. Step 2: Convert to fraction form
    470,733.40/649,760.70 = 300,968.20/x
  3. Step 3: Cross multiply
    470,733.40x = 649,760.70 × 300,968.20
  4. Step 4: Simplify right side
    470,733.40x = 195,557,308,309.74
  5. Step 5: Solve for x
    x = 195,557,308,309.74/470,733.40
  6. Step 6: Final answer
    x = 415,431.13

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1.5x scale

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.