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Finding the Fourth Proportional to 578,014,429.65, 797,659,912.24 and 313,696,422.68

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Solution

The fourth proportional to 578,014,429.65, 797,659,912.24 and 313,696,422.68 is: 432,901,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,014,429.65 : 797,659,912.24 = 313,696,422.68 : x
  2. Step 2: Convert to fraction form
    578,014,429.65/797,659,912.24 = 313,696,422.68/x
  3. Step 3: Cross multiply
    578,014,429.65x = 797,659,912.24 × 313,696,422.68
  4. Step 4: Simplify right side
    578,014,429.65x = 250,223,060,980,158,208
  5. Step 5: Solve for x
    x = 250,223,060,980,158,208/578,014,429.65
  6. Step 6: Final answer
    x = 432,901,062.93

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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.