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Finding the Fourth Proportional to 779,015, 1,075,040.70 and 421,319

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Solution

The fourth proportional to 779,015, 1,075,040.70 and 421,319 is: 581,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,015 : 1,075,040.70 = 421,319 : x
  2. Step 2: Convert to fraction form
    779,015/1,075,040.70 = 421,319/x
  3. Step 3: Cross multiply
    779,015x = 1,075,040.70 × 421,319
  4. Step 4: Simplify right side
    779,015x = 452,935,072,683.30
  5. Step 5: Solve for x
    x = 452,935,072,683.30/779,015
  6. Step 6: Final answer
    x = 581,420.22

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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.