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Finding the Fourth Proportional to 700,546, 966,754.56 and 398,740

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Solution

The fourth proportional to 700,546, 966,754.56 and 398,740 is: 550,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,546 : 966,754.56 = 398,740 : x
  2. Step 2: Convert to fraction form
    700,546/966,754.56 = 398,740/x
  3. Step 3: Cross multiply
    700,546x = 966,754.56 × 398,740
  4. Step 4: Simplify right side
    700,546x = 385,483,713,254.40
  5. Step 5: Solve for x
    x = 385,483,713,254.40/700,546
  6. Step 6: Final answer
    x = 550,261.81

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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.