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Finding the Fourth Proportional to 776,250, 1,164,375 and 215,284.50

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Solution

The fourth proportional to 776,250, 1,164,375 and 215,284.50 is: 322,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,250 : 1,164,375 = 215,284.50 : x
  2. Step 2: Convert to fraction form
    776,250/1,164,375 = 215,284.50/x
  3. Step 3: Cross multiply
    776,250x = 1,164,375 × 215,284.50
  4. Step 4: Simplify right side
    776,250x = 250,671,889,687.50
  5. Step 5: Solve for x
    x = 250,671,889,687.50/776,250
  6. Step 6: Final answer
    x = 322,926.75

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1.5x scale

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.