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Finding the Fourth Proportional to 642,361.78, 886,875.22 and 413,022.06

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Solution

The fourth proportional to 642,361.78, 886,875.22 and 413,022.06 is: 570,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,361.78 : 886,875.22 = 413,022.06 : x
  2. Step 2: Convert to fraction form
    642,361.78/886,875.22 = 413,022.06/x
  3. Step 3: Cross multiply
    642,361.78x = 886,875.22 × 413,022.06
  4. Step 4: Simplify right side
    642,361.78x = 366,299,030,327.35
  5. Step 5: Solve for x
    x = 366,299,030,327.35/642,361.78
  6. Step 6: Final answer
    x = 570,237.90

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1.5x scale

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.