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Finding the Fourth Proportional to 315,063.90, 472,594.86 and 78,406.74

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Solution

The fourth proportional to 315,063.90, 472,594.86 and 78,406.74 is: 117,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,063.90 : 472,594.86 = 78,406.74 : x
  2. Step 2: Convert to fraction form
    315,063.90/472,594.86 = 78,406.74/x
  3. Step 3: Cross multiply
    315,063.90x = 472,594.86 × 78,406.74
  4. Step 4: Simplify right side
    315,063.90x = 37,054,622,313.36
  5. Step 5: Solve for x
    x = 37,054,622,313.36/315,063.90
  6. Step 6: Final answer
    x = 117,609.86

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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.