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Finding the Fourth Proportional to 315,261.72, 473,106.78 and 128,307.24

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Solution

The fourth proportional to 315,261.72, 473,106.78 and 128,307.24 is: 192,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,261.72 : 473,106.78 = 128,307.24 : x
  2. Step 2: Convert to fraction form
    315,261.72/473,106.78 = 128,307.24/x
  3. Step 3: Cross multiply
    315,261.72x = 473,106.78 × 128,307.24
  4. Step 4: Simplify right side
    315,261.72x = 60,703,025,167.09
  5. Step 5: Solve for x
    x = 60,703,025,167.09/315,261.72
  6. Step 6: Final answer
    x = 192,548.04

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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.