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Finding the Fourth Proportional to 420,637.58, 580,476.87 and 229,650.98

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Solution

The fourth proportional to 420,637.58, 580,476.87 and 229,650.98 is: 316,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,637.58 : 580,476.87 = 229,650.98 : x
  2. Step 2: Convert to fraction form
    420,637.58/580,476.87 = 229,650.98/x
  3. Step 3: Cross multiply
    420,637.58x = 580,476.87 × 229,650.98
  4. Step 4: Simplify right side
    420,637.58x = 133,307,079,768.20
  5. Step 5: Solve for x
    x = 133,307,079,768.20/420,637.58
  6. Step 6: Final answer
    x = 316,916.71

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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.