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Finding the Fourth Proportional to 257,464.42, 386,143.83 and 97,485.17

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Solution

The fourth proportional to 257,464.42, 386,143.83 and 97,485.17 is: 146,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,464.42 : 386,143.83 = 97,485.17 : x
  2. Step 2: Convert to fraction form
    257,464.42/386,143.83 = 97,485.17/x
  3. Step 3: Cross multiply
    257,464.42x = 386,143.83 × 97,485.17
  4. Step 4: Simplify right side
    257,464.42x = 37,643,294,981.28
  5. Step 5: Solve for x
    x = 37,643,294,981.28/257,464.42
  6. Step 6: Final answer
    x = 146,207.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.