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Finding the Fourth Proportional to 309,033.66, 426,430.44 and 180,000.42

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Solution

The fourth proportional to 309,033.66, 426,430.44 and 180,000.42 is: 248,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,033.66 : 426,430.44 = 180,000.42 : x
  2. Step 2: Convert to fraction form
    309,033.66/426,430.44 = 180,000.42/x
  3. Step 3: Cross multiply
    309,033.66x = 426,430.44 × 180,000.42
  4. Step 4: Simplify right side
    309,033.66x = 76,757,658,300.78
  5. Step 5: Solve for x
    x = 76,757,658,300.78/309,033.66
  6. Step 6: Final answer
    x = 248,379.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.