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Finding the Fourth Proportional to 1,978,980,927.84, 2,967,812,208.09 and 798,256,456.92

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Solution

The fourth proportional to 1,978,980,927.84, 2,967,812,208.09 and 798,256,456.92 is: 1,197,118,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,980,927.84 : 2,967,812,208.09 = 798,256,456.92 : x
  2. Step 2: Convert to fraction form
    1,978,980,927.84/2,967,812,208.09 = 798,256,456.92/x
  3. Step 3: Cross multiply
    1,978,980,927.84x = 2,967,812,208.09 × 798,256,456.92
  4. Step 4: Simplify right side
    1,978,980,927.84x = 2,369,075,258,033,845,248
  5. Step 5: Solve for x
    x = 2,369,075,258,033,845,248/1,978,980,927.84
  6. Step 6: Final answer
    x = 1,197,118,792.16

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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.