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Finding the Fourth Proportional to 521,362,794.80, 719,488,026.06 and 286,435,167.32

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Solution

The fourth proportional to 521,362,794.80, 719,488,026.06 and 286,435,167.32 is: 395,284,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,362,794.80 : 719,488,026.06 = 286,435,167.32 : x
  2. Step 2: Convert to fraction form
    521,362,794.80/719,488,026.06 = 286,435,167.32/x
  3. Step 3: Cross multiply
    521,362,794.80x = 719,488,026.06 × 286,435,167.32
  4. Step 4: Simplify right side
    521,362,794.80x = 206,086,673,129,232,608
  5. Step 5: Solve for x
    x = 206,086,673,129,232,608/521,362,794.80
  6. Step 6: Final answer
    x = 395,284,579.54

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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.