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Finding the Fourth Proportional to 776,148, 1,164,222 and 215,182.50

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Solution

The fourth proportional to 776,148, 1,164,222 and 215,182.50 is: 322,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,148 : 1,164,222 = 215,182.50 : x
  2. Step 2: Convert to fraction form
    776,148/1,164,222 = 215,182.50/x
  3. Step 3: Cross multiply
    776,148x = 1,164,222 × 215,182.50
  4. Step 4: Simplify right side
    776,148x = 250,520,200,515
  5. Step 5: Solve for x
    x = 250,520,200,515/776,148
  6. Step 6: Final answer
    x = 322,773.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.