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Finding the Fourth Proportional to 779,052, 1,075,091.84 and 421,356

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Solution

The fourth proportional to 779,052, 1,075,091.84 and 421,356 is: 581,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,052 : 1,075,091.84 = 421,356 : x
  2. Step 2: Convert to fraction form
    779,052/1,075,091.84 = 421,356/x
  3. Step 3: Cross multiply
    779,052x = 1,075,091.84 × 421,356
  4. Step 4: Simplify right side
    779,052x = 452,996,397,335.04
  5. Step 5: Solve for x
    x = 452,996,397,335.04/779,052
  6. Step 6: Final answer
    x = 581,471.32

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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.