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Finding the Fourth Proportional to 456,421.60, 684,729.60 and 140,910.40

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Solution

The fourth proportional to 456,421.60, 684,729.60 and 140,910.40 is: 211,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,421.60 : 684,729.60 = 140,910.40 : x
  2. Step 2: Convert to fraction form
    456,421.60/684,729.60 = 140,910.40/x
  3. Step 3: Cross multiply
    456,421.60x = 684,729.60 × 140,910.40
  4. Step 4: Simplify right side
    456,421.60x = 96,485,521,827.84
  5. Step 5: Solve for x
    x = 96,485,521,827.84/456,421.60
  6. Step 6: Final answer
    x = 211,395.61

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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.