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Finding the Fourth Proportional to 470,754.68, 649,712.52 and 287,099.84

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Solution

The fourth proportional to 470,754.68, 649,712.52 and 287,099.84 is: 396,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,754.68 : 649,712.52 = 287,099.84 : x
  2. Step 2: Convert to fraction form
    470,754.68/649,712.52 = 287,099.84/x
  3. Step 3: Cross multiply
    470,754.68x = 649,712.52 × 287,099.84
  4. Step 4: Simplify right side
    470,754.68x = 186,532,360,538.00
  5. Step 5: Solve for x
    x = 186,532,360,538.00/470,754.68
  6. Step 6: Final answer
    x = 396,241.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.