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Finding the Fourth Proportional to 315,017.76, 472,528.35 and 78,360.44

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Solution

The fourth proportional to 315,017.76, 472,528.35 and 78,360.44 is: 117,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,017.76 : 472,528.35 = 78,360.44 : x
  2. Step 2: Convert to fraction form
    315,017.76/472,528.35 = 78,360.44/x
  3. Step 3: Cross multiply
    315,017.76x = 472,528.35 × 78,360.44
  4. Step 4: Simplify right side
    315,017.76x = 37,027,530,599.79
  5. Step 5: Solve for x
    x = 37,027,530,599.79/315,017.76
  6. Step 6: Final answer
    x = 117,541.09

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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.