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Finding the Fourth Proportional to 377,147.56, 520,457.87 and 205,064.15

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Solution

The fourth proportional to 377,147.56, 520,457.87 and 205,064.15 is: 282,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,147.56 : 520,457.87 = 205,064.15 : x
  2. Step 2: Convert to fraction form
    377,147.56/520,457.87 = 205,064.15/x
  3. Step 3: Cross multiply
    377,147.56x = 520,457.87 × 205,064.15
  4. Step 4: Simplify right side
    377,147.56x = 106,727,247,094.75
  5. Step 5: Solve for x
    x = 106,727,247,094.75/377,147.56
  6. Step 6: Final answer
    x = 282,985.39

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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.