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Finding the Fourth Proportional to 377,805.86, 521,408.91 and 282,146.48

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Solution

The fourth proportional to 377,805.86, 521,408.91 and 282,146.48 is: 389,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,805.86 : 521,408.91 = 282,146.48 : x
  2. Step 2: Convert to fraction form
    377,805.86/521,408.91 = 282,146.48/x
  3. Step 3: Cross multiply
    377,805.86x = 521,408.91 × 282,146.48
  4. Step 4: Simplify right side
    377,805.86x = 147,113,688,597.14
  5. Step 5: Solve for x
    x = 147,113,688,597.14/377,805.86
  6. Step 6: Final answer
    x = 389,389.64

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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.