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Finding the Fourth Proportional to 283,147.68, 390,735.95 and 160,662.36

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Solution

The fourth proportional to 283,147.68, 390,735.95 and 160,662.36 is: 221,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,147.68 : 390,735.95 = 160,662.36 : x
  2. Step 2: Convert to fraction form
    283,147.68/390,735.95 = 160,662.36/x
  3. Step 3: Cross multiply
    283,147.68x = 390,735.95 × 160,662.36
  4. Step 4: Simplify right side
    283,147.68x = 62,776,559,060.53
  5. Step 5: Solve for x
    x = 62,776,559,060.53/283,147.68
  6. Step 6: Final answer
    x = 221,709.60

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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.