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Finding the Fourth Proportional to 219,392.22, 328,950.09 and 186,123.90

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Solution

The fourth proportional to 219,392.22, 328,950.09 and 186,123.90 is: 279,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,392.22 : 328,950.09 = 186,123.90 : x
  2. Step 2: Convert to fraction form
    219,392.22/328,950.09 = 186,123.90/x
  3. Step 3: Cross multiply
    219,392.22x = 328,950.09 × 186,123.90
  4. Step 4: Simplify right side
    219,392.22x = 61,225,473,656.15
  5. Step 5: Solve for x
    x = 61,225,473,656.15/219,392.22
  6. Step 6: Final answer
    x = 279,068.57

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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.