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Finding the Fourth Proportional to 468,065.86, 645,928.94 and 253,205.39

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Solution

The fourth proportional to 468,065.86, 645,928.94 and 253,205.39 is: 349,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,065.86 : 645,928.94 = 253,205.39 : x
  2. Step 2: Convert to fraction form
    468,065.86/645,928.94 = 253,205.39/x
  3. Step 3: Cross multiply
    468,065.86x = 645,928.94 × 253,205.39
  4. Step 4: Simplify right side
    468,065.86x = 163,552,687,898.96
  5. Step 5: Solve for x
    x = 163,552,687,898.96/468,065.86
  6. Step 6: Final answer
    x = 349,422.39

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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.