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Finding the Fourth Proportional to 610,768.88, 842,887.62 and 406,493.36

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Solution

The fourth proportional to 610,768.88, 842,887.62 and 406,493.36 is: 560,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,768.88 : 842,887.62 = 406,493.36 : x
  2. Step 2: Convert to fraction form
    610,768.88/842,887.62 = 406,493.36/x
  3. Step 3: Cross multiply
    610,768.88x = 842,887.62 × 406,493.36
  4. Step 4: Simplify right side
    610,768.88x = 342,628,220,756.20
  5. Step 5: Solve for x
    x = 342,628,220,756.20/610,768.88
  6. Step 6: Final answer
    x = 560,978.52

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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.