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Finding the Fourth Proportional to 714,167.75, 985,479.72 and 427,680.47

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Solution

The fourth proportional to 714,167.75, 985,479.72 and 427,680.47 is: 590,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,167.75 : 985,479.72 = 427,680.47 : x
  2. Step 2: Convert to fraction form
    714,167.75/985,479.72 = 427,680.47/x
  3. Step 3: Cross multiply
    714,167.75x = 985,479.72 × 427,680.47
  4. Step 4: Simplify right side
    714,167.75x = 421,470,430,684.97
  5. Step 5: Solve for x
    x = 421,470,430,684.97/714,167.75
  6. Step 6: Final answer
    x = 590,156.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.