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Finding the Fourth Proportional to 1,572,978,138.31, 2,359,778,029.54 and 577,008,414.56

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Solution

The fourth proportional to 1,572,978,138.31, 2,359,778,029.54 and 577,008,414.56 is: 865,626,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,978,138.31 : 2,359,778,029.54 = 577,008,414.56 : x
  2. Step 2: Convert to fraction form
    1,572,978,138.31/2,359,778,029.54 = 577,008,414.56/x
  3. Step 3: Cross multiply
    1,572,978,138.31x = 2,359,778,029.54 × 577,008,414.56
  4. Step 4: Simplify right side
    1,572,978,138.31x = 1,361,611,779,538,396,160
  5. Step 5: Solve for x
    x = 1,361,611,779,538,396,160/1,572,978,138.31
  6. Step 6: Final answer
    x = 865,626,639.29

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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.