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Finding the Fourth Proportional to 285,528.74, 428,296.15 and 117,005.81

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Solution

The fourth proportional to 285,528.74, 428,296.15 and 117,005.81 is: 175,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,528.74 : 428,296.15 = 117,005.81 : x
  2. Step 2: Convert to fraction form
    285,528.74/428,296.15 = 117,005.81/x
  3. Step 3: Cross multiply
    285,528.74x = 428,296.15 × 117,005.81
  4. Step 4: Simplify right side
    285,528.74x = 50,113,137,950.63
  5. Step 5: Solve for x
    x = 50,113,137,950.63/285,528.74
  6. Step 6: Final answer
    x = 175,509.96

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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.