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Finding the Fourth Proportional to 470,348.39, 649,082.01 and 255,486.71

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Solution

The fourth proportional to 470,348.39, 649,082.01 and 255,486.71 is: 352,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,348.39 : 649,082.01 = 255,486.71 : x
  2. Step 2: Convert to fraction form
    470,348.39/649,082.01 = 255,486.71/x
  3. Step 3: Cross multiply
    470,348.39x = 649,082.01 × 255,486.71
  4. Step 4: Simplify right side
    470,348.39x = 165,831,827,255.09
  5. Step 5: Solve for x
    x = 165,831,827,255.09/470,348.39
  6. Step 6: Final answer
    x = 352,572.33

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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.