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Finding the Fourth Proportional to 409,523.38, 565,430.43 and 287,275.66

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Solution

The fourth proportional to 409,523.38, 565,430.43 and 287,275.66 is: 396,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,523.38 : 565,430.43 = 287,275.66 : x
  2. Step 2: Convert to fraction form
    409,523.38/565,430.43 = 287,275.66/x
  3. Step 3: Cross multiply
    409,523.38x = 565,430.43 × 287,275.66
  4. Step 4: Simplify right side
    409,523.38x = 162,434,399,962.33
  5. Step 5: Solve for x
    x = 162,434,399,962.33/409,523.38
  6. Step 6: Final answer
    x = 396,642.56

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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.