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Finding the Fourth Proportional to 613,728,495, 920,955,947.31 and 225,823,730.49

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Solution

The fourth proportional to 613,728,495, 920,955,947.31 and 225,823,730.49 is: 338,869,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,728,495 : 920,955,947.31 = 225,823,730.49 : x
  2. Step 2: Convert to fraction form
    613,728,495/920,955,947.31 = 225,823,730.49/x
  3. Step 3: Cross multiply
    613,728,495x = 920,955,947.31 × 225,823,730.49
  4. Step 4: Simplify right side
    613,728,495x = 207,973,707,638,496,064
  5. Step 5: Solve for x
    x = 207,973,707,638,496,064/613,728,495
  6. Step 6: Final answer
    x = 338,869,238.32

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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.