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Finding the Fourth Proportional to 281,294.12, 388,109.12 and 160,391.32

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Solution

The fourth proportional to 281,294.12, 388,109.12 and 160,391.32 is: 221,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,294.12 : 388,109.12 = 160,391.32 : x
  2. Step 2: Convert to fraction form
    281,294.12/388,109.12 = 160,391.32/x
  3. Step 3: Cross multiply
    281,294.12x = 388,109.12 × 160,391.32
  4. Step 4: Simplify right side
    281,294.12x = 62,249,334,060.84
  5. Step 5: Solve for x
    x = 62,249,334,060.84/281,294.12
  6. Step 6: Final answer
    x = 221,296.25

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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.