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Finding the Fourth Proportional to 779,370, 1,075,530.60 and 421,674

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Solution

The fourth proportional to 779,370, 1,075,530.60 and 421,674 is: 581,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,370 : 1,075,530.60 = 421,674 : x
  2. Step 2: Convert to fraction form
    779,370/1,075,530.60 = 421,674/x
  3. Step 3: Cross multiply
    779,370x = 1,075,530.60 × 421,674
  4. Step 4: Simplify right side
    779,370x = 453,523,290,224.40
  5. Step 5: Solve for x
    x = 453,523,290,224.40/779,370
  6. Step 6: Final answer
    x = 581,910.12

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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.