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Finding the Fourth Proportional to 505,775.10, 698,069.27 and 301,723.89

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Solution

The fourth proportional to 505,775.10, 698,069.27 and 301,723.89 is: 416,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,775.10 : 698,069.27 = 301,723.89 : x
  2. Step 2: Convert to fraction form
    505,775.10/698,069.27 = 301,723.89/x
  3. Step 3: Cross multiply
    505,775.10x = 698,069.27 × 301,723.89
  4. Step 4: Simplify right side
    505,775.10x = 210,624,175,633.86
  5. Step 5: Solve for x
    x = 210,624,175,633.86/505,775.10
  6. Step 6: Final answer
    x = 416,438.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.