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Finding the Fourth Proportional to 628,268,437.82, 866,999,866.53 and 346,037,160.81

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Solution

The fourth proportional to 628,268,437.82, 866,999,866.53 and 346,037,160.81 is: 477,525,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,268,437.82 : 866,999,866.53 = 346,037,160.81 : x
  2. Step 2: Convert to fraction form
    628,268,437.82/866,999,866.53 = 346,037,160.81/x
  3. Step 3: Cross multiply
    628,268,437.82x = 866,999,866.53 × 346,037,160.81
  4. Step 4: Simplify right side
    628,268,437.82x = 300,014,172,236,032,704
  5. Step 5: Solve for x
    x = 300,014,172,236,032,704/628,268,437.82
  6. Step 6: Final answer
    x = 477,525,455.97

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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.