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Finding the Fourth Proportional to 285,741.74, 428,701.86 and 172,014.08

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Solution

The fourth proportional to 285,741.74, 428,701.86 and 172,014.08 is: 258,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,741.74 : 428,701.86 = 172,014.08 : x
  2. Step 2: Convert to fraction form
    285,741.74/428,701.86 = 172,014.08/x
  3. Step 3: Cross multiply
    285,741.74x = 428,701.86 × 172,014.08
  4. Step 4: Simplify right side
    285,741.74x = 73,742,756,042.19
  5. Step 5: Solve for x
    x = 73,742,756,042.19/285,741.74
  6. Step 6: Final answer
    x = 258,074.85

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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.