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Finding the Fourth Proportional to 493,036.07, 680,421.87 and 278,097.71

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Solution

The fourth proportional to 493,036.07, 680,421.87 and 278,097.71 is: 383,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,036.07 : 680,421.87 = 278,097.71 : x
  2. Step 2: Convert to fraction form
    493,036.07/680,421.87 = 278,097.71/x
  3. Step 3: Cross multiply
    493,036.07x = 680,421.87 × 278,097.71
  4. Step 4: Simplify right side
    493,036.07x = 189,223,760,478.81
  5. Step 5: Solve for x
    x = 189,223,760,478.81/493,036.07
  6. Step 6: Final answer
    x = 383,792.94

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1.5x scale

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.