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Finding the Fourth Proportional to 309,651.02, 464,477.23 and 85,014.53

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Solution

The fourth proportional to 309,651.02, 464,477.23 and 85,014.53 is: 127,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,651.02 : 464,477.23 = 85,014.53 : x
  2. Step 2: Convert to fraction form
    309,651.02/464,477.23 = 85,014.53/x
  3. Step 3: Cross multiply
    309,651.02x = 464,477.23 × 85,014.53
  4. Step 4: Simplify right side
    309,651.02x = 39,487,311,081.77
  5. Step 5: Solve for x
    x = 39,487,311,081.77/309,651.02
  6. Step 6: Final answer
    x = 127,521.98

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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.