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Finding the Fourth Proportional to 1,213,502,978.64, 1,674,622,188.36 and 656,573,805.84

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Solution

The fourth proportional to 1,213,502,978.64, 1,674,622,188.36 and 656,573,805.84 is: 906,065,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,502,978.64 : 1,674,622,188.36 = 656,573,805.84 : x
  2. Step 2: Convert to fraction form
    1,213,502,978.64/1,674,622,188.36 = 656,573,805.84/x
  3. Step 3: Cross multiply
    1,213,502,978.64x = 1,674,622,188.36 × 656,573,805.84
  4. Step 4: Simplify right side
    1,213,502,978.64x = 1,099,513,063,555,634,560
  5. Step 5: Solve for x
    x = 1,099,513,063,555,634,560/1,213,502,978.64
  6. Step 6: Final answer
    x = 906,065,401.49

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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.