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Finding the Fourth Proportional to 315,237.56, 472,994.94 and 165,442.74

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Solution

The fourth proportional to 315,237.56, 472,994.94 and 165,442.74 is: 248,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,237.56 : 472,994.94 = 165,442.74 : x
  2. Step 2: Convert to fraction form
    315,237.56/472,994.94 = 165,442.74/x
  3. Step 3: Cross multiply
    315,237.56x = 472,994.94 × 165,442.74
  4. Step 4: Simplify right side
    315,237.56x = 78,253,577,726.41
  5. Step 5: Solve for x
    x = 78,253,577,726.41/315,237.56
  6. Step 6: Final answer
    x = 248,236.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.