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Finding the Fourth Proportional to 456,045.48, 684,069.84 and 140,500.80

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Solution

The fourth proportional to 456,045.48, 684,069.84 and 140,500.80 is: 210,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,045.48 : 684,069.84 = 140,500.80 : x
  2. Step 2: Convert to fraction form
    456,045.48/684,069.84 = 140,500.80/x
  3. Step 3: Cross multiply
    456,045.48x = 684,069.84 × 140,500.80
  4. Step 4: Simplify right side
    456,045.48x = 96,112,359,775.87
  5. Step 5: Solve for x
    x = 96,112,359,775.87/456,045.48
  6. Step 6: Final answer
    x = 210,751.70

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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.