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Finding the Fourth Proportional to 470,124, 648,771.12 and 268,920

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Solution

The fourth proportional to 470,124, 648,771.12 and 268,920 is: 371,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,124 : 648,771.12 = 268,920 : x
  2. Step 2: Convert to fraction form
    470,124/648,771.12 = 268,920/x
  3. Step 3: Cross multiply
    470,124x = 648,771.12 × 268,920
  4. Step 4: Simplify right side
    470,124x = 174,467,529,590.40
  5. Step 5: Solve for x
    x = 174,467,529,590.40/470,124
  6. Step 6: Final answer
    x = 371,109.60

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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.