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Finding the Fourth Proportional to 281,368.72, 388,325.81 and 160,482.30

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Solution

The fourth proportional to 281,368.72, 388,325.81 and 160,482.30 is: 221,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,368.72 : 388,325.81 = 160,482.30 : x
  2. Step 2: Convert to fraction form
    281,368.72/388,325.81 = 160,482.30/x
  3. Step 3: Cross multiply
    281,368.72x = 388,325.81 × 160,482.30
  4. Step 4: Simplify right side
    281,368.72x = 62,319,418,083.15
  5. Step 5: Solve for x
    x = 62,319,418,083.15/281,368.72
  6. Step 6: Final answer
    x = 221,486.66

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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.