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Finding the Fourth Proportional to 377,564.86, 521,062.74 and 216,444.12

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Solution

The fourth proportional to 377,564.86, 521,062.74 and 216,444.12 is: 298,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,564.86 : 521,062.74 = 216,444.12 : x
  2. Step 2: Convert to fraction form
    377,564.86/521,062.74 = 216,444.12/x
  3. Step 3: Cross multiply
    377,564.86x = 521,062.74 × 216,444.12
  4. Step 4: Simplify right side
    377,564.86x = 112,780,964,270.10
  5. Step 5: Solve for x
    x = 112,780,964,270.10/377,564.86
  6. Step 6: Final answer
    x = 298,706.20

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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.