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Finding the Fourth Proportional to 647,425.05, 894,010.71 and 406,122.40

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Solution

The fourth proportional to 647,425.05, 894,010.71 and 406,122.40 is: 560,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,425.05 : 894,010.71 = 406,122.40 : x
  2. Step 2: Convert to fraction form
    647,425.05/894,010.71 = 406,122.40/x
  3. Step 3: Cross multiply
    647,425.05x = 894,010.71 × 406,122.40
  4. Step 4: Simplify right side
    647,425.05x = 363,077,775,170.90
  5. Step 5: Solve for x
    x = 363,077,775,170.90/647,425.05
  6. Step 6: Final answer
    x = 560,802.79

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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.