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Finding the Fourth Proportional to 291,915.36, 437,918.40 and 142,063.20

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Solution

The fourth proportional to 291,915.36, 437,918.40 and 142,063.20 is: 213,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,915.36 : 437,918.40 = 142,063.20 : x
  2. Step 2: Convert to fraction form
    291,915.36/437,918.40 = 142,063.20/x
  3. Step 3: Cross multiply
    291,915.36x = 437,918.40 × 142,063.20
  4. Step 4: Simplify right side
    291,915.36x = 62,212,089,242.88
  5. Step 5: Solve for x
    x = 62,212,089,242.88/291,915.36
  6. Step 6: Final answer
    x = 213,116.87

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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.