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Finding the Fourth Proportional to 315,137.64, 472,706.52 and 104,777.40

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Solution

The fourth proportional to 315,137.64, 472,706.52 and 104,777.40 is: 157,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,137.64 : 472,706.52 = 104,777.40 : x
  2. Step 2: Convert to fraction form
    315,137.64/472,706.52 = 104,777.40/x
  3. Step 3: Cross multiply
    315,137.64x = 472,706.52 × 104,777.40
  4. Step 4: Simplify right side
    315,137.64x = 49,528,960,128.65
  5. Step 5: Solve for x
    x = 49,528,960,128.65/315,137.64
  6. Step 6: Final answer
    x = 157,166.12

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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.