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Finding the Fourth Proportional to 562,647.88, 776,472.42 and 307,999

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Solution

The fourth proportional to 562,647.88, 776,472.42 and 307,999 is: 425,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,647.88 : 776,472.42 = 307,999 : x
  2. Step 2: Convert to fraction form
    562,647.88/776,472.42 = 307,999/x
  3. Step 3: Cross multiply
    562,647.88x = 776,472.42 × 307,999
  4. Step 4: Simplify right side
    562,647.88x = 239,152,728,887.58
  5. Step 5: Solve for x
    x = 239,152,728,887.58/562,647.88
  6. Step 6: Final answer
    x = 425,048.66

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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.