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Finding the Fourth Proportional to 700,818, 967,128.96 and 382,866

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Solution

The fourth proportional to 700,818, 967,128.96 and 382,866 is: 528,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,818 : 967,128.96 = 382,866 : x
  2. Step 2: Convert to fraction form
    700,818/967,128.96 = 382,866/x
  3. Step 3: Cross multiply
    700,818x = 967,128.96 × 382,866
  4. Step 4: Simplify right side
    700,818x = 370,280,796,399.36
  5. Step 5: Solve for x
    x = 370,280,796,399.36/700,818
  6. Step 6: Final answer
    x = 528,355.15

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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.