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Finding the Fourth Proportional to 257,718.48, 355,644.64 and 141,431.60

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Solution

The fourth proportional to 257,718.48, 355,644.64 and 141,431.60 is: 195,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,718.48 : 355,644.64 = 141,431.60 : x
  2. Step 2: Convert to fraction form
    257,718.48/355,644.64 = 141,431.60/x
  3. Step 3: Cross multiply
    257,718.48x = 355,644.64 × 141,431.60
  4. Step 4: Simplify right side
    257,718.48x = 50,299,390,466.62
  5. Step 5: Solve for x
    x = 50,299,390,466.62/257,718.48
  6. Step 6: Final answer
    x = 195,171.84

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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.