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Finding the Fourth Proportional to 564,142.68, 778,585.74 and 322,435.44

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Solution

The fourth proportional to 564,142.68, 778,585.74 and 322,435.44 is: 445,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,142.68 : 778,585.74 = 322,435.44 : x
  2. Step 2: Convert to fraction form
    564,142.68/778,585.74 = 322,435.44/x
  3. Step 3: Cross multiply
    564,142.68x = 778,585.74 × 322,435.44
  4. Step 4: Simplify right side
    564,142.68x = 251,043,635,654.63
  5. Step 5: Solve for x
    x = 251,043,635,654.63/564,142.68
  6. Step 6: Final answer
    x = 445,000.25

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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.