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Finding the Fourth Proportional to 294,495.08, 441,690.03 and 78,355.05

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Solution

The fourth proportional to 294,495.08, 441,690.03 and 78,355.05 is: 117,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,495.08 : 441,690.03 = 78,355.05 : x
  2. Step 2: Convert to fraction form
    294,495.08/441,690.03 = 78,355.05/x
  3. Step 3: Cross multiply
    294,495.08x = 441,690.03 × 78,355.05
  4. Step 4: Simplify right side
    294,495.08x = 34,608,644,385.15
  5. Step 5: Solve for x
    x = 34,608,644,385.15/294,495.08
  6. Step 6: Final answer
    x = 117,518.58

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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.