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Finding the Fourth Proportional to 456,116.40, 684,109.80 and 140,605.20

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Solution

The fourth proportional to 456,116.40, 684,109.80 and 140,605.20 is: 210,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,116.40 : 684,109.80 = 140,605.20 : x
  2. Step 2: Convert to fraction form
    456,116.40/684,109.80 = 140,605.20/x
  3. Step 3: Cross multiply
    456,116.40x = 684,109.80 × 140,605.20
  4. Step 4: Simplify right side
    456,116.40x = 96,189,395,250.96
  5. Step 5: Solve for x
    x = 96,189,395,250.96/456,116.40
  6. Step 6: Final answer
    x = 210,887.82

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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.