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Finding the Fourth Proportional to 291,938.40, 437,920.56 and 114,429.60

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Solution

The fourth proportional to 291,938.40, 437,920.56 and 114,429.60 is: 171,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,938.40 : 437,920.56 = 114,429.60 : x
  2. Step 2: Convert to fraction form
    291,938.40/437,920.56 = 114,429.60/x
  3. Step 3: Cross multiply
    291,938.40x = 437,920.56 × 114,429.60
  4. Step 4: Simplify right side
    291,938.40x = 50,111,074,512.58
  5. Step 5: Solve for x
    x = 50,111,074,512.58/291,938.40
  6. Step 6: Final answer
    x = 171,649.48

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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.