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Finding the Fourth Proportional to 700,724, 967,000.20 and 398,918

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Solution

The fourth proportional to 700,724, 967,000.20 and 398,918 is: 550,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,724 : 967,000.20 = 398,918 : x
  2. Step 2: Convert to fraction form
    700,724/967,000.20 = 398,918/x
  3. Step 3: Cross multiply
    700,724x = 967,000.20 × 398,918
  4. Step 4: Simplify right side
    700,724x = 385,753,785,783.60
  5. Step 5: Solve for x
    x = 385,753,785,783.60/700,724
  6. Step 6: Final answer
    x = 550,507.45

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1.5x scale

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.