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Finding the Fourth Proportional to 291,468.32, 436,874.28 and 148,914.80

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Solution

The fourth proportional to 291,468.32, 436,874.28 and 148,914.80 is: 223,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,468.32 : 436,874.28 = 148,914.80 : x
  2. Step 2: Convert to fraction form
    291,468.32/436,874.28 = 148,914.80/x
  3. Step 3: Cross multiply
    291,468.32x = 436,874.28 × 148,914.80
  4. Step 4: Simplify right side
    291,468.32x = 65,057,046,031.34
  5. Step 5: Solve for x
    x = 65,057,046,031.34/291,468.32
  6. Step 6: Final answer
    x = 223,204.52

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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.