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Finding the Fourth Proportional to 470,345.40, 649,179.36 and 289,213.20

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Solution

The fourth proportional to 470,345.40, 649,179.36 and 289,213.20 is: 399,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,345.40 : 649,179.36 = 289,213.20 : x
  2. Step 2: Convert to fraction form
    470,345.40/649,179.36 = 289,213.20/x
  3. Step 3: Cross multiply
    470,345.40x = 649,179.36 × 289,213.20
  4. Step 4: Simplify right side
    470,345.40x = 187,751,240,079.55
  5. Step 5: Solve for x
    x = 187,751,240,079.55/470,345.40
  6. Step 6: Final answer
    x = 399,177.37

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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.