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Finding the Fourth Proportional to 470,223, 649,106.40 and 317,468.14

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Solution

The fourth proportional to 470,223, 649,106.40 and 317,468.14 is: 438,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 649,106.40 = 317,468.14 : x
  2. Step 2: Convert to fraction form
    470,223/649,106.40 = 317,468.14/x
  3. Step 3: Cross multiply
    470,223x = 649,106.40 × 317,468.14
  4. Step 4: Simplify right side
    470,223x = 206,070,598,224.56
  5. Step 5: Solve for x
    x = 206,070,598,224.56/470,223
  6. Step 6: Final answer
    x = 438,240.15

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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.