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Finding the Fourth Proportional to 384,421.60, 576,632.40 and 251,711.20

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Solution

The fourth proportional to 384,421.60, 576,632.40 and 251,711.20 is: 377,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,421.60 : 576,632.40 = 251,711.20 : x
  2. Step 2: Convert to fraction form
    384,421.60/576,632.40 = 251,711.20/x
  3. Step 3: Cross multiply
    384,421.60x = 576,632.40 × 251,711.20
  4. Step 4: Simplify right side
    384,421.60x = 145,144,833,362.88
  5. Step 5: Solve for x
    x = 145,144,833,362.88/384,421.60
  6. Step 6: Final answer
    x = 377,566.80

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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.