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Finding the Fourth Proportional to 420,407.94, 580,175.28 and 229,433.64

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Solution

The fourth proportional to 420,407.94, 580,175.28 and 229,433.64 is: 316,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,407.94 : 580,175.28 = 229,433.64 : x
  2. Step 2: Convert to fraction form
    420,407.94/580,175.28 = 229,433.64/x
  3. Step 3: Cross multiply
    420,407.94x = 580,175.28 × 229,433.64
  4. Step 4: Simplify right side
    420,407.94x = 133,111,726,328.42
  5. Step 5: Solve for x
    x = 133,111,726,328.42/420,407.94
  6. Step 6: Final answer
    x = 316,625.15

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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.