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Finding the Fourth Proportional to 470,247.76, 648,982 and 266,334.40

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Solution

The fourth proportional to 470,247.76, 648,982 and 266,334.40 is: 367,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,247.76 : 648,982 = 266,334.40 : x
  2. Step 2: Convert to fraction form
    470,247.76/648,982 = 266,334.40/x
  3. Step 3: Cross multiply
    470,247.76x = 648,982 × 266,334.40
  4. Step 4: Simplify right side
    470,247.76x = 172,846,231,580.80
  5. Step 5: Solve for x
    x = 172,846,231,580.80/470,247.76
  6. Step 6: Final answer
    x = 367,564.18

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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.