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Finding the Fourth Proportional to 30,658.50, 45,719.44 and 30,378.24

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Solution

The fourth proportional to 30,658.50, 45,719.44 and 30,378.24 is: 45,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 45,719.44 = 30,378.24 : x
  2. Step 2: Convert to fraction form
    30,658.50/45,719.44 = 30,378.24/x
  3. Step 3: Cross multiply
    30,658.50x = 45,719.44 × 30,378.24
  4. Step 4: Simplify right side
    30,658.50x = 1,388,876,045.04
  5. Step 5: Solve for x
    x = 1,388,876,045.04/30,658.50
  6. Step 6: Final answer
    x = 45,301.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.