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Finding the Fourth Proportional to 432,978.12, 597,513.78 and 239,383.08

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Solution

The fourth proportional to 432,978.12, 597,513.78 and 239,383.08 is: 330,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,978.12 : 597,513.78 = 239,383.08 : x
  2. Step 2: Convert to fraction form
    432,978.12/597,513.78 = 239,383.08/x
  3. Step 3: Cross multiply
    432,978.12x = 597,513.78 × 239,383.08
  4. Step 4: Simplify right side
    432,978.12x = 143,034,688,998.84
  5. Step 5: Solve for x
    x = 143,034,688,998.84/432,978.12
  6. Step 6: Final answer
    x = 330,350.85

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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.