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Finding the Fourth Proportional to 312,448.98, 431,178.90 and 169,208.58

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Solution

The fourth proportional to 312,448.98, 431,178.90 and 169,208.58 is: 233,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,448.98 : 431,178.90 = 169,208.58 : x
  2. Step 2: Convert to fraction form
    312,448.98/431,178.90 = 169,208.58/x
  3. Step 3: Cross multiply
    312,448.98x = 431,178.90 × 169,208.58
  4. Step 4: Simplify right side
    312,448.98x = 72,959,169,394.96
  5. Step 5: Solve for x
    x = 72,959,169,394.96/312,448.98
  6. Step 6: Final answer
    x = 233,507.47

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1.5x scale

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.