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Finding the Fourth Proportional to 342,433.81, 472,748.70 and 206,502.20

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Solution

The fourth proportional to 342,433.81, 472,748.70 and 206,502.20 is: 285,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,433.81 : 472,748.70 = 206,502.20 : x
  2. Step 2: Convert to fraction form
    342,433.81/472,748.70 = 206,502.20/x
  3. Step 3: Cross multiply
    342,433.81x = 472,748.70 × 206,502.20
  4. Step 4: Simplify right side
    342,433.81x = 97,623,646,780.59
  5. Step 5: Solve for x
    x = 97,623,646,780.59/342,433.81
  6. Step 6: Final answer
    x = 285,087.64

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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.