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Finding the Fourth Proportional to 778,829, 1,074,784.02 and 421,133

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Solution

The fourth proportional to 778,829, 1,074,784.02 and 421,133 is: 581,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,829 : 1,074,784.02 = 421,133 : x
  2. Step 2: Convert to fraction form
    778,829/1,074,784.02 = 421,133/x
  3. Step 3: Cross multiply
    778,829x = 1,074,784.02 × 421,133
  4. Step 4: Simplify right side
    778,829x = 452,627,018,694.66
  5. Step 5: Solve for x
    x = 452,627,018,694.66/778,829
  6. Step 6: Final answer
    x = 581,163.54

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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.