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Finding the Fourth Proportional to 257,548.04, 386,289.24 and 99,668.48

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Solution

The fourth proportional to 257,548.04, 386,289.24 and 99,668.48 is: 149,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,548.04 : 386,289.24 = 99,668.48 : x
  2. Step 2: Convert to fraction form
    257,548.04/386,289.24 = 99,668.48/x
  3. Step 3: Cross multiply
    257,548.04x = 386,289.24 × 99,668.48
  4. Step 4: Simplify right side
    257,548.04x = 38,500,861,391.16
  5. Step 5: Solve for x
    x = 38,500,861,391.16/257,548.04
  6. Step 6: Final answer
    x = 149,490.02

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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.