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Finding the Fourth Proportional to 419,032.66, 578,253.99 and 228,041.95

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Solution

The fourth proportional to 419,032.66, 578,253.99 and 228,041.95 is: 314,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,032.66 : 578,253.99 = 228,041.95 : x
  2. Step 2: Convert to fraction form
    419,032.66/578,253.99 = 228,041.95/x
  3. Step 3: Cross multiply
    419,032.66x = 578,253.99 × 228,041.95
  4. Step 4: Simplify right side
    419,032.66x = 131,866,167,474.88
  5. Step 5: Solve for x
    x = 131,866,167,474.88/419,032.66
  6. Step 6: Final answer
    x = 314,691.86

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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.