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Finding the Fourth Proportional to 470,389.96, 648,995.11 and 266,408.47

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Solution

The fourth proportional to 470,389.96, 648,995.11 and 266,408.47 is: 367,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,389.96 : 648,995.11 = 266,408.47 : x
  2. Step 2: Convert to fraction form
    470,389.96/648,995.11 = 266,408.47/x
  3. Step 3: Cross multiply
    470,389.96x = 648,995.11 × 266,408.47
  4. Step 4: Simplify right side
    470,389.96x = 172,897,794,292.58
  5. Step 5: Solve for x
    x = 172,897,794,292.58/470,389.96
  6. Step 6: Final answer
    x = 367,562.68

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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.