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Finding the Fourth Proportional to 1,404,731,145.76, 1,938,648,023.94 and 778,396,040.80

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Solution

The fourth proportional to 1,404,731,145.76, 1,938,648,023.94 and 778,396,040.80 is: 1,074,252,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404,731,145.76 : 1,938,648,023.94 = 778,396,040.80 : x
  2. Step 2: Convert to fraction form
    1,404,731,145.76/1,938,648,023.94 = 778,396,040.80/x
  3. Step 3: Cross multiply
    1,404,731,145.76x = 1,938,648,023.94 × 778,396,040.80
  4. Step 4: Simplify right side
    1,404,731,145.76x = 1,509,035,946,339,639,552
  5. Step 5: Solve for x
    x = 1,509,035,946,339,639,552/1,404,731,145.76
  6. Step 6: Final answer
    x = 1,074,252,500.84

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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.