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Finding the Fourth Proportional to 1,340,640,413, 1,850,054,779.83 and 776,149,097.21

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Solution

The fourth proportional to 1,340,640,413, 1,850,054,779.83 and 776,149,097.21 is: 1,071,068,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,640,413 : 1,850,054,779.83 = 776,149,097.21 : x
  2. Step 2: Convert to fraction form
    1,340,640,413/1,850,054,779.83 = 776,149,097.21/x
  3. Step 3: Cross multiply
    1,340,640,413x = 1,850,054,779.83 × 776,149,097.21
  4. Step 4: Simplify right side
    1,340,640,413x = 1,435,918,347,154,099,712
  5. Step 5: Solve for x
    x = 1,435,918,347,154,099,712/1,340,640,413
  6. Step 6: Final answer
    x = 1,071,068,970.64

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1.5x scale

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.