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Finding the Fourth Proportional to 562,470,745.68, 776,215,837.44 and 311,578,980.48

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Solution

The fourth proportional to 562,470,745.68, 776,215,837.44 and 311,578,980.48 is: 429,982,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,470,745.68 : 776,215,837.44 = 311,578,980.48 : x
  2. Step 2: Convert to fraction form
    562,470,745.68/776,215,837.44 = 311,578,980.48/x
  3. Step 3: Cross multiply
    562,470,745.68x = 776,215,837.44 × 311,578,980.48
  4. Step 4: Simplify right side
    562,470,745.68x = 241,852,539,261,984,640
  5. Step 5: Solve for x
    x = 241,852,539,261,984,640/562,470,745.68
  6. Step 6: Final answer
    x = 429,982,432.19

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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.