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Finding the Fourth Proportional to 342,401.40, 472,665.28 and 204,628.96

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Solution

The fourth proportional to 342,401.40, 472,665.28 and 204,628.96 is: 282,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,401.40 : 472,665.28 = 204,628.96 : x
  2. Step 2: Convert to fraction form
    342,401.40/472,665.28 = 204,628.96/x
  3. Step 3: Cross multiply
    342,401.40x = 472,665.28 × 204,628.96
  4. Step 4: Simplify right side
    342,401.40x = 96,721,004,674.51
  5. Step 5: Solve for x
    x = 96,721,004,674.51/342,401.40
  6. Step 6: Final answer
    x = 282,478.41

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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.