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Finding the Fourth Proportional to 419,139.44, 578,412.50 and 228,152.81

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Solution

The fourth proportional to 419,139.44, 578,412.50 and 228,152.81 is: 314,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139.44 : 578,412.50 = 228,152.81 : x
  2. Step 2: Convert to fraction form
    419,139.44/578,412.50 = 228,152.81/x
  3. Step 3: Cross multiply
    419,139.44x = 578,412.50 × 228,152.81
  4. Step 4: Simplify right side
    419,139.44x = 131,966,437,519.39
  5. Step 5: Solve for x
    x = 131,966,437,519.39/419,139.44
  6. Step 6: Final answer
    x = 314,850.92

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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.