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Finding the Fourth Proportional to 455,674.74, 683,124.39 and 278,306.16

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Solution

The fourth proportional to 455,674.74, 683,124.39 and 278,306.16 is: 417,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,674.74 : 683,124.39 = 278,306.16 : x
  2. Step 2: Convert to fraction form
    455,674.74/683,124.39 = 278,306.16/x
  3. Step 3: Cross multiply
    455,674.74x = 683,124.39 × 278,306.16
  4. Step 4: Simplify right side
    455,674.74x = 190,117,725,783.24
  5. Step 5: Solve for x
    x = 190,117,725,783.24/455,674.74
  6. Step 6: Final answer
    x = 417,222.44

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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.