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Finding the Fourth Proportional to 505,701.55, 758,851.58 and 186,077.86

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Solution

The fourth proportional to 505,701.55, 758,851.58 and 186,077.86 is: 279,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,701.55 : 758,851.58 = 186,077.86 : x
  2. Step 2: Convert to fraction form
    505,701.55/758,851.58 = 186,077.86/x
  3. Step 3: Cross multiply
    505,701.55x = 758,851.58 × 186,077.86
  4. Step 4: Simplify right side
    505,701.55x = 141,205,474,269.76
  5. Step 5: Solve for x
    x = 141,205,474,269.76/505,701.55
  6. Step 6: Final answer
    x = 279,226.90

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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.