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Finding the Fourth Proportional to 257,978.40, 386,384.40 and 153,002.40

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Solution

The fourth proportional to 257,978.40, 386,384.40 and 153,002.40 is: 229,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.40 : 386,384.40 = 153,002.40 : x
  2. Step 2: Convert to fraction form
    257,978.40/386,384.40 = 153,002.40/x
  3. Step 3: Cross multiply
    257,978.40x = 386,384.40 × 153,002.40
  4. Step 4: Simplify right side
    257,978.40x = 59,117,740,522.56
  5. Step 5: Solve for x
    x = 59,117,740,522.56/257,978.40
  6. Step 6: Final answer
    x = 229,157.71

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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.