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Finding the Fourth Proportional to 398,668,853.40, 598,003,280.10 and 398,668,853.40

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Solution

The fourth proportional to 398,668,853.40, 598,003,280.10 and 398,668,853.40 is: 598,003,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,668,853.40 : 598,003,280.10 = 398,668,853.40 : x
  2. Step 2: Convert to fraction form
    398,668,853.40/598,003,280.10 = 398,668,853.40/x
  3. Step 3: Cross multiply
    398,668,853.40x = 598,003,280.10 × 398,668,853.40
  4. Step 4: Simplify right side
    398,668,853.40x = 238,405,282,006,906,048
  5. Step 5: Solve for x
    x = 238,405,282,006,906,048/398,668,853.40
  6. Step 6: Final answer
    x = 598,003,280.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.