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Finding the Fourth Proportional to 644,203.76, 888,971.40 and 357,742.16

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Solution

The fourth proportional to 644,203.76, 888,971.40 and 357,742.16 is: 493,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,203.76 : 888,971.40 = 357,742.16 : x
  2. Step 2: Convert to fraction form
    644,203.76/888,971.40 = 357,742.16/x
  3. Step 3: Cross multiply
    644,203.76x = 888,971.40 × 357,742.16
  4. Step 4: Simplify right side
    644,203.76x = 318,022,548,814.22
  5. Step 5: Solve for x
    x = 318,022,548,814.22/644,203.76
  6. Step 6: Final answer
    x = 493,667.64

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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.