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Finding the Fourth Proportional to 309,509.90, 464,306.16 and 122,477.66

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Solution

The fourth proportional to 309,509.90, 464,306.16 and 122,477.66 is: 183,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,509.90 : 464,306.16 = 122,477.66 : x
  2. Step 2: Convert to fraction form
    309,509.90/464,306.16 = 122,477.66/x
  3. Step 3: Cross multiply
    309,509.90x = 464,306.16 × 122,477.66
  4. Step 4: Simplify right side
    309,509.90x = 56,867,132,000.39
  5. Step 5: Solve for x
    x = 56,867,132,000.39/309,509.90
  6. Step 6: Final answer
    x = 183,732.84

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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.