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Finding the Fourth Proportional to 653,090.34, 979,383.86 and 253,678.53

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Solution

The fourth proportional to 653,090.34, 979,383.86 and 253,678.53 is: 380,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,090.34 : 979,383.86 = 253,678.53 : x
  2. Step 2: Convert to fraction form
    653,090.34/979,383.86 = 253,678.53/x
  3. Step 3: Cross multiply
    653,090.34x = 979,383.86 × 253,678.53
  4. Step 4: Simplify right side
    653,090.34x = 248,448,661,266.12
  5. Step 5: Solve for x
    x = 248,448,661,266.12/653,090.34
  6. Step 6: Final answer
    x = 380,420.05

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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.