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Finding the Fourth Proportional to 419,209.88, 578,511 and 228,224.66

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Solution

The fourth proportional to 419,209.88, 578,511 and 228,224.66 is: 314,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,209.88 : 578,511 = 228,224.66 : x
  2. Step 2: Convert to fraction form
    419,209.88/578,511 = 228,224.66/x
  3. Step 3: Cross multiply
    419,209.88x = 578,511 × 228,224.66
  4. Step 4: Simplify right side
    419,209.88x = 132,030,473,388.71
  5. Step 5: Solve for x
    x = 132,030,473,388.71/419,209.88
  6. Step 6: Final answer
    x = 314,950.77

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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.