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Finding the Fourth Proportional to 470,882.18, 649,814.10 and 256,022.30

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Solution

The fourth proportional to 470,882.18, 649,814.10 and 256,022.30 is: 353,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,882.18 : 649,814.10 = 256,022.30 : x
  2. Step 2: Convert to fraction form
    470,882.18/649,814.10 = 256,022.30/x
  3. Step 3: Cross multiply
    470,882.18x = 649,814.10 × 256,022.30
  4. Step 4: Simplify right side
    470,882.18x = 166,366,900,454.43
  5. Step 5: Solve for x
    x = 166,366,900,454.43/470,882.18
  6. Step 6: Final answer
    x = 353,308.98

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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.