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Finding the Fourth Proportional to 493,047.07, 680,437.05 and 278,108.71

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Solution

The fourth proportional to 493,047.07, 680,437.05 and 278,108.71 is: 383,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,047.07 : 680,437.05 = 278,108.71 : x
  2. Step 2: Convert to fraction form
    493,047.07/680,437.05 = 278,108.71/x
  3. Step 3: Cross multiply
    493,047.07x = 680,437.05 × 278,108.71
  4. Step 4: Simplify right side
    493,047.07x = 189,235,470,211.71
  5. Step 5: Solve for x
    x = 189,235,470,211.71/493,047.07
  6. Step 6: Final answer
    x = 383,808.12

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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.