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Finding the Fourth Proportional to 315,508.36, 473,263.74 and 78,851.28

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Solution

The fourth proportional to 315,508.36, 473,263.74 and 78,851.28 is: 118,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,508.36 : 473,263.74 = 78,851.28 : x
  2. Step 2: Convert to fraction form
    315,508.36/473,263.74 = 78,851.28/x
  3. Step 3: Cross multiply
    315,508.36x = 473,263.74 × 78,851.28
  4. Step 4: Simplify right side
    315,508.36x = 37,317,451,676.59
  5. Step 5: Solve for x
    x = 37,317,451,676.59/315,508.36
  6. Step 6: Final answer
    x = 118,277.22

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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.