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Finding the Fourth Proportional to 778,738,990.01, 1,074,659,858.66 and 426,314,980.74

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Solution

The fourth proportional to 778,738,990.01, 1,074,659,858.66 and 426,314,980.74 is: 588,314,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,738,990.01 : 1,074,659,858.66 = 426,314,980.74 : x
  2. Step 2: Convert to fraction form
    778,738,990.01/1,074,659,858.66 = 426,314,980.74/x
  3. Step 3: Cross multiply
    778,738,990.01x = 1,074,659,858.66 × 426,314,980.74
  4. Step 4: Simplify right side
    778,738,990.01x = 458,143,596,944,557,440
  5. Step 5: Solve for x
    x = 458,143,596,944,557,440/778,738,990.01
  6. Step 6: Final answer
    x = 588,314,702.13

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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.