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Finding the Fourth Proportional to 354,782.60, 532,325.10 and 186,432.20

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Solution

The fourth proportional to 354,782.60, 532,325.10 and 186,432.20 is: 279,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,782.60 : 532,325.10 = 186,432.20 : x
  2. Step 2: Convert to fraction form
    354,782.60/532,325.10 = 186,432.20/x
  3. Step 3: Cross multiply
    354,782.60x = 532,325.10 × 186,432.20
  4. Step 4: Simplify right side
    354,782.60x = 99,242,539,508.22
  5. Step 5: Solve for x
    x = 99,242,539,508.22/354,782.60
  6. Step 6: Final answer
    x = 279,727.75

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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.