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Finding the Fourth Proportional to 234,287.60, 351,431.40 and 145,714.10

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Solution

The fourth proportional to 234,287.60, 351,431.40 and 145,714.10 is: 218,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,287.60 : 351,431.40 = 145,714.10 : x
  2. Step 2: Convert to fraction form
    234,287.60/351,431.40 = 145,714.10/x
  3. Step 3: Cross multiply
    234,287.60x = 351,431.40 × 145,714.10
  4. Step 4: Simplify right side
    234,287.60x = 51,208,510,162.74
  5. Step 5: Solve for x
    x = 51,208,510,162.74/234,287.60
  6. Step 6: Final answer
    x = 218,571.15

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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.