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Finding the Fourth Proportional to 493,885.95, 740,932.19 and 280,751.86

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Solution

The fourth proportional to 493,885.95, 740,932.19 and 280,751.86 is: 421,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,885.95 : 740,932.19 = 280,751.86 : x
  2. Step 2: Convert to fraction form
    493,885.95/740,932.19 = 280,751.86/x
  3. Step 3: Cross multiply
    493,885.95x = 740,932.19 × 280,751.86
  4. Step 4: Simplify right side
    493,885.95x = 208,018,090,476.37
  5. Step 5: Solve for x
    x = 208,018,090,476.37/493,885.95
  6. Step 6: Final answer
    x = 421,186.49

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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.