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Finding the Fourth Proportional to 785,749,504.08, 1,178,299,978.44 and 268,221,629.40

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Solution

The fourth proportional to 785,749,504.08, 1,178,299,978.44 and 268,221,629.40 is: 402,221,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,749,504.08 : 1,178,299,978.44 = 268,221,629.40 : x
  2. Step 2: Convert to fraction form
    785,749,504.08/1,178,299,978.44 = 268,221,629.40/x
  3. Step 3: Cross multiply
    785,749,504.08x = 1,178,299,978.44 × 268,221,629.40
  4. Step 4: Simplify right side
    785,749,504.08x = 316,045,540,139,161,664
  5. Step 5: Solve for x
    x = 316,045,540,139,161,664/785,749,504.08
  6. Step 6: Final answer
    x = 402,221,749.42

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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.