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Finding the Fourth Proportional to 1,185,218,245.09, 1,635,481,978.14 and 656,483,442.31

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Solution

The fourth proportional to 1,185,218,245.09, 1,635,481,978.14 and 656,483,442.31 is: 905,881,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,218,245.09 : 1,635,481,978.14 = 656,483,442.31 : x
  2. Step 2: Convert to fraction form
    1,185,218,245.09/1,635,481,978.14 = 656,483,442.31/x
  3. Step 3: Cross multiply
    1,185,218,245.09x = 1,635,481,978.14 × 656,483,442.31
  4. Step 4: Simplify right side
    1,185,218,245.09x = 1,073,666,838,845,315,328
  5. Step 5: Solve for x
    x = 1,073,666,838,845,315,328/1,185,218,245.09
  6. Step 6: Final answer
    x = 905,881,126.36

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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.