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Finding the Fourth Proportional to 287,697.32, 431,670.41 and 154,421.86

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Solution

The fourth proportional to 287,697.32, 431,670.41 and 154,421.86 is: 231,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,697.32 : 431,670.41 = 154,421.86 : x
  2. Step 2: Convert to fraction form
    287,697.32/431,670.41 = 154,421.86/x
  3. Step 3: Cross multiply
    287,697.32x = 431,670.41 × 154,421.86
  4. Step 4: Simplify right side
    287,697.32x = 66,659,347,619.16
  5. Step 5: Solve for x
    x = 66,659,347,619.16/287,697.32
  6. Step 6: Final answer
    x = 231,699.58

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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.