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Finding the Fourth Proportional to 828,041, 1,142,686.42 and 465,525.32

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Solution

The fourth proportional to 828,041, 1,142,686.42 and 465,525.32 is: 642,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,041 : 1,142,686.42 = 465,525.32 : x
  2. Step 2: Convert to fraction form
    828,041/1,142,686.42 = 465,525.32/x
  3. Step 3: Cross multiply
    828,041x = 1,142,686.42 × 465,525.32
  4. Step 4: Simplify right side
    828,041x = 531,949,461,330.15
  5. Step 5: Solve for x
    x = 531,949,461,330.15/828,041
  6. Step 6: Final answer
    x = 642,419.23

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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.