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Finding the Fourth Proportional to 1,640,799,843.72, 2,264,303,894.99 and 898,243,906.47

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Solution

The fourth proportional to 1,640,799,843.72, 2,264,303,894.99 and 898,243,906.47 is: 1,239,576,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,799,843.72 : 2,264,303,894.99 = 898,243,906.47 : x
  2. Step 2: Convert to fraction form
    1,640,799,843.72/2,264,303,894.99 = 898,243,906.47/x
  3. Step 3: Cross multiply
    1,640,799,843.72x = 2,264,303,894.99 × 898,243,906.47
  4. Step 4: Simplify right side
    1,640,799,843.72x = 2,033,897,176,066,563,328
  5. Step 5: Solve for x
    x = 2,033,897,176,066,563,328/1,640,799,843.72
  6. Step 6: Final answer
    x = 1,239,576,651.50

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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.