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Finding the Fourth Proportional to 315,894.10, 473,771.44 and 91,205.66

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Solution

The fourth proportional to 315,894.10, 473,771.44 and 91,205.66 is: 136,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,894.10 : 473,771.44 = 91,205.66 : x
  2. Step 2: Convert to fraction form
    315,894.10/473,771.44 = 91,205.66/x
  3. Step 3: Cross multiply
    315,894.10x = 473,771.44 × 91,205.66
  4. Step 4: Simplify right side
    315,894.10x = 43,210,636,874.35
  5. Step 5: Solve for x
    x = 43,210,636,874.35/315,894.10
  6. Step 6: Final answer
    x = 136,788.36

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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.