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Finding the Fourth Proportional to 470,154.40, 648,806.28 and 266,200

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Solution

The fourth proportional to 470,154.40, 648,806.28 and 266,200 is: 367,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,154.40 : 648,806.28 = 266,200 : x
  2. Step 2: Convert to fraction form
    470,154.40/648,806.28 = 266,200/x
  3. Step 3: Cross multiply
    470,154.40x = 648,806.28 × 266,200
  4. Step 4: Simplify right side
    470,154.40x = 172,712,231,736
  5. Step 5: Solve for x
    x = 172,712,231,736/470,154.40
  6. Step 6: Final answer
    x = 367,352.15

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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.