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Finding the Fourth Proportional to 567,284.68, 782,842.81 and 309,164

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Solution

The fourth proportional to 567,284.68, 782,842.81 and 309,164 is: 426,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,284.68 : 782,842.81 = 309,164 : x
  2. Step 2: Convert to fraction form
    567,284.68/782,842.81 = 309,164/x
  3. Step 3: Cross multiply
    567,284.68x = 782,842.81 × 309,164
  4. Step 4: Simplify right side
    567,284.68x = 242,026,814,510.84
  5. Step 5: Solve for x
    x = 242,026,814,510.84/567,284.68
  6. Step 6: Final answer
    x = 426,640.84

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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.