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Finding the Fourth Proportional to 1,283,978,673.84, 1,925,360,880.84 and 497,400,738.48

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Solution

The fourth proportional to 1,283,978,673.84, 1,925,360,880.84 and 497,400,738.48 is: 745,865,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,978,673.84 : 1,925,360,880.84 = 497,400,738.48 : x
  2. Step 2: Convert to fraction form
    1,283,978,673.84/1,925,360,880.84 = 497,400,738.48/x
  3. Step 3: Cross multiply
    1,283,978,673.84x = 1,925,360,880.84 × 497,400,738.48
  4. Step 4: Simplify right side
    1,283,978,673.84x = 957,675,923,970,319,232
  5. Step 5: Solve for x
    x = 957,675,923,970,319,232/1,283,978,673.84
  6. Step 6: Final answer
    x = 745,865,911.55

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1.5x scale

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.