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Finding the Fourth Proportional to 459,842.63, 689,867.74 and 140,023.09

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Solution

The fourth proportional to 459,842.63, 689,867.74 and 140,023.09 is: 210,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,842.63 : 689,867.74 = 140,023.09 : x
  2. Step 2: Convert to fraction form
    459,842.63/689,867.74 = 140,023.09/x
  3. Step 3: Cross multiply
    459,842.63x = 689,867.74 × 140,023.09
  4. Step 4: Simplify right side
    459,842.63x = 96,597,410,955.60
  5. Step 5: Solve for x
    x = 96,597,410,955.60/459,842.63
  6. Step 6: Final answer
    x = 210,066.24

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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.