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Finding the Fourth Proportional to 530,736.72, 732,409.40 and 301,292

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Solution

The fourth proportional to 530,736.72, 732,409.40 and 301,292 is: 415,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,736.72 : 732,409.40 = 301,292 : x
  2. Step 2: Convert to fraction form
    530,736.72/732,409.40 = 301,292/x
  3. Step 3: Cross multiply
    530,736.72x = 732,409.40 × 301,292
  4. Step 4: Simplify right side
    530,736.72x = 220,669,092,944.80
  5. Step 5: Solve for x
    x = 220,669,092,944.80/530,736.72
  6. Step 6: Final answer
    x = 415,778.83

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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.