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Finding the Fourth Proportional to 390,477.96, 585,205.02 and 222,075.72

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Solution

The fourth proportional to 390,477.96, 585,205.02 and 222,075.72 is: 332,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,477.96 : 585,205.02 = 222,075.72 : x
  2. Step 2: Convert to fraction form
    390,477.96/585,205.02 = 222,075.72/x
  3. Step 3: Cross multiply
    390,477.96x = 585,205.02 × 222,075.72
  4. Step 4: Simplify right side
    390,477.96x = 129,959,826,164.11
  5. Step 5: Solve for x
    x = 129,959,826,164.11/390,477.96
  6. Step 6: Final answer
    x = 332,822.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.