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Finding the Fourth Proportional to 291,297.90, 437,116.65 and 122,807.90

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Solution

The fourth proportional to 291,297.90, 437,116.65 and 122,807.90 is: 184,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,297.90 : 437,116.65 = 122,807.90 : x
  2. Step 2: Convert to fraction form
    291,297.90/437,116.65 = 122,807.90/x
  3. Step 3: Cross multiply
    291,297.90x = 437,116.65 × 122,807.90
  4. Step 4: Simplify right side
    291,297.90x = 53,681,377,841.54
  5. Step 5: Solve for x
    x = 53,681,377,841.54/291,297.90
  6. Step 6: Final answer
    x = 184,283.44

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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.