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Finding the Fourth Proportional to 290,434.36, 434,714.10 and 149,999.80

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Solution

The fourth proportional to 290,434.36, 434,714.10 and 149,999.80 is: 224,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,434.36 : 434,714.10 = 149,999.80 : x
  2. Step 2: Convert to fraction form
    290,434.36/434,714.10 = 149,999.80/x
  3. Step 3: Cross multiply
    290,434.36x = 434,714.10 × 149,999.80
  4. Step 4: Simplify right side
    290,434.36x = 65,207,028,057.18
  5. Step 5: Solve for x
    x = 65,207,028,057.18/290,434.36
  6. Step 6: Final answer
    x = 224,515.54

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1.5x scale

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.