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Finding the Fourth Proportional to 257,464.89, 386,144.55 and 97,485.63

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Solution

The fourth proportional to 257,464.89, 386,144.55 and 97,485.63 is: 146,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,464.89 : 386,144.55 = 97,485.63 : x
  2. Step 2: Convert to fraction form
    257,464.89/386,144.55 = 97,485.63/x
  3. Step 3: Cross multiply
    257,464.89x = 386,144.55 × 97,485.63
  4. Step 4: Simplify right side
    257,464.89x = 37,643,544,727.82
  5. Step 5: Solve for x
    x = 37,643,544,727.82/257,464.89
  6. Step 6: Final answer
    x = 146,208.46

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1.5x scale

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.