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Finding the Fourth Proportional to 562,970.26, 776,954.43 and 321,289.21

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Solution

The fourth proportional to 562,970.26, 776,954.43 and 321,289.21 is: 443,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,970.26 : 776,954.43 = 321,289.21 : x
  2. Step 2: Convert to fraction form
    562,970.26/776,954.43 = 321,289.21/x
  3. Step 3: Cross multiply
    562,970.26x = 776,954.43 × 321,289.21
  4. Step 4: Simplify right side
    562,970.26x = 249,627,075,020.70
  5. Step 5: Solve for x
    x = 249,627,075,020.70/562,970.26
  6. Step 6: Final answer
    x = 443,410.77

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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.