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Finding the Fourth Proportional to 410,115.60, 565,119.72 and 302,515.20

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Solution

The fourth proportional to 410,115.60, 565,119.72 and 302,515.20 is: 416,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,115.60 : 565,119.72 = 302,515.20 : x
  2. Step 2: Convert to fraction form
    410,115.60/565,119.72 = 302,515.20/x
  3. Step 3: Cross multiply
    410,115.60x = 565,119.72 × 302,515.20
  4. Step 4: Simplify right side
    410,115.60x = 170,957,305,119.74
  5. Step 5: Solve for x
    x = 170,957,305,119.74/410,115.60
  6. Step 6: Final answer
    x = 416,851.51

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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.