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Finding the Fourth Proportional to 399,597.30, 598,977.32 and 186,189.26

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Solution

The fourth proportional to 399,597.30, 598,977.32 and 186,189.26 is: 279,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,597.30 : 598,977.32 = 186,189.26 : x
  2. Step 2: Convert to fraction form
    399,597.30/598,977.32 = 186,189.26/x
  3. Step 3: Cross multiply
    399,597.30x = 598,977.32 × 186,189.26
  4. Step 4: Simplify right side
    399,597.30x = 111,523,140,041.75
  5. Step 5: Solve for x
    x = 111,523,140,041.75/399,597.30
  6. Step 6: Final answer
    x = 279,088.82

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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.