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Finding the Fourth Proportional to 507,668.86, 700,583.15 and 278,235.26

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Solution

The fourth proportional to 507,668.86, 700,583.15 and 278,235.26 is: 383,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,668.86 : 700,583.15 = 278,235.26 : x
  2. Step 2: Convert to fraction form
    507,668.86/700,583.15 = 278,235.26/x
  3. Step 3: Cross multiply
    507,668.86x = 700,583.15 × 278,235.26
  4. Step 4: Simplify right side
    507,668.86x = 194,926,932,084.54
  5. Step 5: Solve for x
    x = 194,926,932,084.54/507,668.86
  6. Step 6: Final answer
    x = 383,964.72

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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.