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Finding the Fourth Proportional to 309,213.72, 426,706.04 and 180,180.72

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Solution

The fourth proportional to 309,213.72, 426,706.04 and 180,180.72 is: 248,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,213.72 : 426,706.04 = 180,180.72 : x
  2. Step 2: Convert to fraction form
    309,213.72/426,706.04 = 180,180.72/x
  3. Step 3: Cross multiply
    309,213.72x = 426,706.04 × 180,180.72
  4. Step 4: Simplify right side
    309,213.72x = 76,884,201,966.00
  5. Step 5: Solve for x
    x = 76,884,201,966.00/309,213.72
  6. Step 6: Final answer
    x = 248,644.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.