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Finding the Fourth Proportional to 281,301.96, 388,192.77 and 160,445.31

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Solution

The fourth proportional to 281,301.96, 388,192.77 and 160,445.31 is: 221,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,301.96 : 388,192.77 = 160,445.31 : x
  2. Step 2: Convert to fraction form
    281,301.96/388,192.77 = 160,445.31/x
  3. Step 3: Cross multiply
    281,301.96x = 388,192.77 × 160,445.31
  4. Step 4: Simplify right side
    281,301.96x = 62,283,709,322.41
  5. Step 5: Solve for x
    x = 62,283,709,322.41/281,301.96
  6. Step 6: Final answer
    x = 221,412.28

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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.