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Finding the Fourth Proportional to 470,575, 649,480.98 and 269,371

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Solution

The fourth proportional to 470,575, 649,480.98 and 269,371 is: 371,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,575 : 649,480.98 = 269,371 : x
  2. Step 2: Convert to fraction form
    470,575/649,480.98 = 269,371/x
  3. Step 3: Cross multiply
    470,575x = 649,480.98 × 269,371
  4. Step 4: Simplify right side
    470,575x = 174,951,341,063.58
  5. Step 5: Solve for x
    x = 174,951,341,063.58/470,575
  6. Step 6: Final answer
    x = 371,782.06

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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.