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Finding the Fourth Proportional to 420,297.66, 580,012.65 and 229,315.05

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Solution

The fourth proportional to 420,297.66, 580,012.65 and 229,315.05 is: 316,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,297.66 : 580,012.65 = 229,315.05 : x
  2. Step 2: Convert to fraction form
    420,297.66/580,012.65 = 229,315.05/x
  3. Step 3: Cross multiply
    420,297.66x = 580,012.65 × 229,315.05
  4. Step 4: Simplify right side
    420,297.66x = 133,005,629,835.38
  5. Step 5: Solve for x
    x = 133,005,629,835.38/420,297.66
  6. Step 6: Final answer
    x = 316,455.79

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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.