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Finding the Fourth Proportional to 660,378,295.80, 990,567,443.70 and 507,794,513.40

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Solution

The fourth proportional to 660,378,295.80, 990,567,443.70 and 507,794,513.40 is: 761,691,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,378,295.80 : 990,567,443.70 = 507,794,513.40 : x
  2. Step 2: Convert to fraction form
    660,378,295.80/990,567,443.70 = 507,794,513.40/x
  3. Step 3: Cross multiply
    660,378,295.80x = 990,567,443.70 × 507,794,513.40
  4. Step 4: Simplify right side
    660,378,295.80x = 503,004,713,063,523,392
  5. Step 5: Solve for x
    x = 503,004,713,063,523,392/660,378,295.80
  6. Step 6: Final answer
    x = 761,691,770.10

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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.