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Finding the Fourth Proportional to 779,007, 1,075,029.66 and 421,311

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Solution

The fourth proportional to 779,007, 1,075,029.66 and 421,311 is: 581,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,007 : 1,075,029.66 = 421,311 : x
  2. Step 2: Convert to fraction form
    779,007/1,075,029.66 = 421,311/x
  3. Step 3: Cross multiply
    779,007x = 1,075,029.66 × 421,311
  4. Step 4: Simplify right side
    779,007x = 452,921,821,084.26
  5. Step 5: Solve for x
    x = 452,921,821,084.26/779,007
  6. Step 6: Final answer
    x = 581,409.18

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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.