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Finding the Fourth Proportional to 465,857.88, 642,996.54 and 434,339.16

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Solution

The fourth proportional to 465,857.88, 642,996.54 and 434,339.16 is: 599,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,857.88 : 642,996.54 = 434,339.16 : x
  2. Step 2: Convert to fraction form
    465,857.88/642,996.54 = 434,339.16/x
  3. Step 3: Cross multiply
    465,857.88x = 642,996.54 × 434,339.16
  4. Step 4: Simplify right side
    465,857.88x = 279,278,577,066.51
  5. Step 5: Solve for x
    x = 279,278,577,066.51/465,857.88
  6. Step 6: Final answer
    x = 599,493.08

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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.