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Finding the Fourth Proportional to 421,776.80, 582,065.04 and 230,798.24

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Solution

The fourth proportional to 421,776.80, 582,065.04 and 230,798.24 is: 318,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,776.80 : 582,065.04 = 230,798.24 : x
  2. Step 2: Convert to fraction form
    421,776.80/582,065.04 = 230,798.24/x
  3. Step 3: Cross multiply
    421,776.80x = 582,065.04 × 230,798.24
  4. Step 4: Simplify right side
    421,776.80x = 134,339,586,797.53
  5. Step 5: Solve for x
    x = 134,339,586,797.53/421,776.80
  6. Step 6: Final answer
    x = 318,508.72

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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.