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Finding the Fourth Proportional to 561,445,201.76, 774,742,382.60 and 310,544,193.76

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Solution

The fourth proportional to 561,445,201.76, 774,742,382.60 and 310,544,193.76 is: 428,522,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,445,201.76 : 774,742,382.60 = 310,544,193.76 : x
  2. Step 2: Convert to fraction form
    561,445,201.76/774,742,382.60 = 310,544,193.76/x
  3. Step 3: Cross multiply
    561,445,201.76x = 774,742,382.60 × 310,544,193.76
  4. Step 4: Simplify right side
    561,445,201.76x = 240,591,748,576,218,464
  5. Step 5: Solve for x
    x = 240,591,748,576,218,464/561,445,201.76
  6. Step 6: Final answer
    x = 428,522,227.68

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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.