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Finding the Fourth Proportional to 419,545.50, 578,965.50 and 228,557.22

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Solution

The fourth proportional to 419,545.50, 578,965.50 and 228,557.22 is: 315,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,545.50 : 578,965.50 = 228,557.22 : x
  2. Step 2: Convert to fraction form
    419,545.50/578,965.50 = 228,557.22/x
  3. Step 3: Cross multiply
    419,545.50x = 578,965.50 × 228,557.22
  4. Step 4: Simplify right side
    419,545.50x = 132,326,745,155.91
  5. Step 5: Solve for x
    x = 132,326,745,155.91/419,545.50
  6. Step 6: Final answer
    x = 315,404.99

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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.