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Finding the Fourth Proportional to 530,902.46, 732,651.78 and 289,187

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Solution

The fourth proportional to 530,902.46, 732,651.78 and 289,187 is: 399,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,902.46 : 732,651.78 = 289,187 : x
  2. Step 2: Convert to fraction form
    530,902.46/732,651.78 = 289,187/x
  3. Step 3: Cross multiply
    530,902.46x = 732,651.78 × 289,187
  4. Step 4: Simplify right side
    530,902.46x = 211,873,370,302.86
  5. Step 5: Solve for x
    x = 211,873,370,302.86/530,902.46
  6. Step 6: Final answer
    x = 399,081.54

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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.