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Finding the Fourth Proportional to 397,420.61, 596,137.76 and 113,118.47

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Solution

The fourth proportional to 397,420.61, 596,137.76 and 113,118.47 is: 169,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,420.61 : 596,137.76 = 113,118.47 : x
  2. Step 2: Convert to fraction form
    397,420.61/596,137.76 = 113,118.47/x
  3. Step 3: Cross multiply
    397,420.61x = 596,137.76 × 113,118.47
  4. Step 4: Simplify right side
    397,420.61x = 67,434,193,548.52
  5. Step 5: Solve for x
    x = 67,434,193,548.52/397,420.61
  6. Step 6: Final answer
    x = 169,679.66

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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.