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Finding the Fourth Proportional to 281,616, 388,534.40 and 160,670.40

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Solution

The fourth proportional to 281,616, 388,534.40 and 160,670.40 is: 221,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,616 : 388,534.40 = 160,670.40 : x
  2. Step 2: Convert to fraction form
    281,616/388,534.40 = 160,670.40/x
  3. Step 3: Cross multiply
    281,616x = 388,534.40 × 160,670.40
  4. Step 4: Simplify right side
    281,616x = 62,425,977,461.76
  5. Step 5: Solve for x
    x = 62,425,977,461.76/281,616
  6. Step 6: Final answer
    x = 221,670.56

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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.