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Finding the Fourth Proportional to 470,820.60, 649,735.02 and 277,236.68

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Solution

The fourth proportional to 470,820.60, 649,735.02 and 277,236.68 is: 382,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,820.60 : 649,735.02 = 277,236.68 : x
  2. Step 2: Convert to fraction form
    470,820.60/649,735.02 = 277,236.68/x
  3. Step 3: Cross multiply
    470,820.60x = 649,735.02 × 277,236.68
  4. Step 4: Simplify right side
    470,820.60x = 180,130,376,575.86
  5. Step 5: Solve for x
    x = 180,130,376,575.86/470,820.60
  6. Step 6: Final answer
    x = 382,588.14

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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.