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Finding the Fourth Proportional to 507,670.86, 700,585.92 and 278,237.26

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Solution

The fourth proportional to 507,670.86, 700,585.92 and 278,237.26 is: 383,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,670.86 : 700,585.92 = 278,237.26 : x
  2. Step 2: Convert to fraction form
    507,670.86/700,585.92 = 278,237.26/x
  3. Step 3: Cross multiply
    507,670.86x = 700,585.92 × 278,237.26
  4. Step 4: Simplify right side
    507,670.86x = 194,929,106,775.38
  5. Step 5: Solve for x
    x = 194,929,106,775.38/507,670.86
  6. Step 6: Final answer
    x = 383,967.49

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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.