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Finding the Fourth Proportional to 419,225.40, 578,511.99 and 228,238.38

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Solution

The fourth proportional to 419,225.40, 578,511.99 and 228,238.38 is: 314,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,225.40 : 578,511.99 = 228,238.38 : x
  2. Step 2: Convert to fraction form
    419,225.40/578,511.99 = 228,238.38/x
  3. Step 3: Cross multiply
    419,225.40x = 578,511.99 × 228,238.38
  4. Step 4: Simplify right side
    419,225.40x = 132,038,639,408.18
  5. Step 5: Solve for x
    x = 132,038,639,408.18/419,225.40
  6. Step 6: Final answer
    x = 314,958.59

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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.