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Finding the Fourth Proportional to 470,083.38, 648,719.73 and 255,225.21

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Solution

The fourth proportional to 470,083.38, 648,719.73 and 255,225.21 is: 352,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,083.38 : 648,719.73 = 255,225.21 : x
  2. Step 2: Convert to fraction form
    470,083.38/648,719.73 = 255,225.21/x
  3. Step 3: Cross multiply
    470,083.38x = 648,719.73 × 255,225.21
  4. Step 4: Simplify right side
    470,083.38x = 165,569,629,320.39
  5. Step 5: Solve for x
    x = 165,569,629,320.39/470,083.38
  6. Step 6: Final answer
    x = 352,213.32

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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.