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Finding the Fourth Proportional to 527,105.66, 789,830.57 and 407,455.79

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Solution

The fourth proportional to 527,105.66, 789,830.57 and 407,455.79 is: 610,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,105.66 : 789,830.57 = 407,455.79 : x
  2. Step 2: Convert to fraction form
    527,105.66/789,830.57 = 407,455.79/x
  3. Step 3: Cross multiply
    527,105.66x = 789,830.57 × 407,455.79
  4. Step 4: Simplify right side
    527,105.66x = 321,821,032,879.07
  5. Step 5: Solve for x
    x = 321,821,032,879.07/527,105.66
  6. Step 6: Final answer
    x = 610,543.69

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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.