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Finding the Fourth Proportional to 378,653.58, 567,459.38 and 162,253.26

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Solution

The fourth proportional to 378,653.58, 567,459.38 and 162,253.26 is: 243,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,653.58 : 567,459.38 = 162,253.26 : x
  2. Step 2: Convert to fraction form
    378,653.58/567,459.38 = 162,253.26/x
  3. Step 3: Cross multiply
    378,653.58x = 567,459.38 × 162,253.26
  4. Step 4: Simplify right side
    378,653.58x = 92,072,130,674.02
  5. Step 5: Solve for x
    x = 92,072,130,674.02/378,653.58
  6. Step 6: Final answer
    x = 243,156.64

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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.