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Finding the Fourth Proportional to 312,648.24, 431,454.98 and 169,408.16

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Solution

The fourth proportional to 312,648.24, 431,454.98 and 169,408.16 is: 233,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,648.24 : 431,454.98 = 169,408.16 : x
  2. Step 2: Convert to fraction form
    312,648.24/431,454.98 = 169,408.16/x
  3. Step 3: Cross multiply
    312,648.24x = 431,454.98 × 169,408.16
  4. Step 4: Simplify right side
    312,648.24x = 73,091,994,284.64
  5. Step 5: Solve for x
    x = 73,091,994,284.64/312,648.24
  6. Step 6: Final answer
    x = 233,783.48

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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.