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Finding the Fourth Proportional to 257,701.96, 355,646.46 and 144,532

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Solution

The fourth proportional to 257,701.96, 355,646.46 and 144,532 is: 199,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,701.96 : 355,646.46 = 144,532 : x
  2. Step 2: Convert to fraction form
    257,701.96/355,646.46 = 144,532/x
  3. Step 3: Cross multiply
    257,701.96x = 355,646.46 × 144,532
  4. Step 4: Simplify right side
    257,701.96x = 51,402,294,156.72
  5. Step 5: Solve for x
    x = 51,402,294,156.72/257,701.96
  6. Step 6: Final answer
    x = 199,464.12

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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.