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Finding the Fourth Proportional to 911,043,674.19, 1,257,241,482.86 and 493,356,679.83

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Solution

The fourth proportional to 911,043,674.19, 1,257,241,482.86 and 493,356,679.83 is: 680,832,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,043,674.19 : 1,257,241,482.86 = 493,356,679.83 : x
  2. Step 2: Convert to fraction form
    911,043,674.19/1,257,241,482.86 = 493,356,679.83/x
  3. Step 3: Cross multiply
    911,043,674.19x = 1,257,241,482.86 × 493,356,679.83
  4. Step 4: Simplify right side
    911,043,674.19x = 620,268,483,725,888,640
  5. Step 5: Solve for x
    x = 620,268,483,725,888,640/911,043,674.19
  6. Step 6: Final answer
    x = 680,832,874.75

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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.