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Finding the Fourth Proportional to 779,014, 1,075,039.32 and 421,318

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Solution

The fourth proportional to 779,014, 1,075,039.32 and 421,318 is: 581,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,014 : 1,075,039.32 = 421,318 : x
  2. Step 2: Convert to fraction form
    779,014/1,075,039.32 = 421,318/x
  3. Step 3: Cross multiply
    779,014x = 1,075,039.32 × 421,318
  4. Step 4: Simplify right side
    779,014x = 452,933,416,223.76
  5. Step 5: Solve for x
    x = 452,933,416,223.76/779,014
  6. Step 6: Final answer
    x = 581,418.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.