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Finding the Fourth Proportional to 414,246,239.40, 621,369,359.10 and 414,246,239.40

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Solution

The fourth proportional to 414,246,239.40, 621,369,359.10 and 414,246,239.40 is: 621,369,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,246,239.40 : 621,369,359.10 = 414,246,239.40 : x
  2. Step 2: Convert to fraction form
    414,246,239.40/621,369,359.10 = 414,246,239.40/x
  3. Step 3: Cross multiply
    414,246,239.40x = 621,369,359.10 × 414,246,239.40
  4. Step 4: Simplify right side
    414,246,239.40x = 257,399,920,285,563,168
  5. Step 5: Solve for x
    x = 257,399,920,285,563,168/414,246,239.40
  6. Step 6: Final answer
    x = 621,369,359.10

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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.