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Finding the Fourth Proportional to 635,728.88, 952,706.64 and 477,772.40

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Solution

The fourth proportional to 635,728.88, 952,706.64 and 477,772.40 is: 715,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,728.88 : 952,706.64 = 477,772.40 : x
  2. Step 2: Convert to fraction form
    635,728.88/952,706.64 = 477,772.40/x
  3. Step 3: Cross multiply
    635,728.88x = 952,706.64 × 477,772.40
  4. Step 4: Simplify right side
    635,728.88x = 455,176,937,888.74
  5. Step 5: Solve for x
    x = 455,176,937,888.74/635,728.88
  6. Step 6: Final answer
    x = 715,992.23

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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.