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Finding the Fourth Proportional to 493,386.54, 680,835.42 and 278,547.84

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Solution

The fourth proportional to 493,386.54, 680,835.42 and 278,547.84 is: 384,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,386.54 : 680,835.42 = 278,547.84 : x
  2. Step 2: Convert to fraction form
    493,386.54/680,835.42 = 278,547.84/x
  3. Step 3: Cross multiply
    493,386.54x = 680,835.42 × 278,547.84
  4. Step 4: Simplify right side
    493,386.54x = 189,645,235,636.49
  5. Step 5: Solve for x
    x = 189,645,235,636.49/493,386.54
  6. Step 6: Final answer
    x = 384,374.56

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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.