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Finding the Fourth Proportional to 419,491.71, 578,897.69 and 228,504.65

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Solution

The fourth proportional to 419,491.71, 578,897.69 and 228,504.65 is: 315,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,491.71 : 578,897.69 = 228,504.65 : x
  2. Step 2: Convert to fraction form
    419,491.71/578,897.69 = 228,504.65/x
  3. Step 3: Cross multiply
    419,491.71x = 578,897.69 × 228,504.65
  4. Step 4: Simplify right side
    419,491.71x = 132,280,810,002.25
  5. Step 5: Solve for x
    x = 132,280,810,002.25/419,491.71
  6. Step 6: Final answer
    x = 315,335.93

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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.