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Finding the Fourth Proportional to 257,468.90, 386,150.54 and 97,489.64

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Solution

The fourth proportional to 257,468.90, 386,150.54 and 97,489.64 is: 146,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,468.90 : 386,150.54 = 97,489.64 : x
  2. Step 2: Convert to fraction form
    257,468.90/386,150.54 = 97,489.64/x
  3. Step 3: Cross multiply
    257,468.90x = 386,150.54 × 97,489.64
  4. Step 4: Simplify right side
    257,468.90x = 37,645,677,130.41
  5. Step 5: Solve for x
    x = 37,645,677,130.41/257,468.90
  6. Step 6: Final answer
    x = 146,214.46

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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.