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Finding the Fourth Proportional to 219,477.60, 328,827.60 and 186,040.80

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Solution

The fourth proportional to 219,477.60, 328,827.60 and 186,040.80 is: 278,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,477.60 : 328,827.60 = 186,040.80 : x
  2. Step 2: Convert to fraction form
    219,477.60/328,827.60 = 186,040.80/x
  3. Step 3: Cross multiply
    219,477.60x = 328,827.60 × 186,040.80
  4. Step 4: Simplify right side
    219,477.60x = 61,175,349,766.08
  5. Step 5: Solve for x
    x = 61,175,349,766.08/219,477.60
  6. Step 6: Final answer
    x = 278,731.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.