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Finding the Fourth Proportional to 567,282.68, 782,840.05 and 309,162

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Solution

The fourth proportional to 567,282.68, 782,840.05 and 309,162 is: 426,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,282.68 : 782,840.05 = 309,162 : x
  2. Step 2: Convert to fraction form
    567,282.68/782,840.05 = 309,162/x
  3. Step 3: Cross multiply
    567,282.68x = 782,840.05 × 309,162
  4. Step 4: Simplify right side
    567,282.68x = 242,024,395,538.10
  5. Step 5: Solve for x
    x = 242,024,395,538.10/567,282.68
  6. Step 6: Final answer
    x = 426,638.08

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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.