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Finding the Fourth Proportional to 309,398.64, 426,943.62 and 171,582

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Solution

The fourth proportional to 309,398.64, 426,943.62 and 171,582 is: 236,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,398.64 : 426,943.62 = 171,582 : x
  2. Step 2: Convert to fraction form
    309,398.64/426,943.62 = 171,582/x
  3. Step 3: Cross multiply
    309,398.64x = 426,943.62 × 171,582
  4. Step 4: Simplify right side
    309,398.64x = 73,255,840,206.84
  5. Step 5: Solve for x
    x = 73,255,840,206.84/309,398.64
  6. Step 6: Final answer
    x = 236,768.46

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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.