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Finding the Fourth Proportional to 296,684, 445,081.80 and 119,205.20

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Solution

The fourth proportional to 296,684, 445,081.80 and 119,205.20 is: 178,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,684 : 445,081.80 = 119,205.20 : x
  2. Step 2: Convert to fraction form
    296,684/445,081.80 = 119,205.20/x
  3. Step 3: Cross multiply
    296,684x = 445,081.80 × 119,205.20
  4. Step 4: Simplify right side
    296,684x = 53,056,064,985.36
  5. Step 5: Solve for x
    x = 53,056,064,985.36/296,684
  6. Step 6: Final answer
    x = 178,830.22

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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.