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Finding the Fourth Proportional to 406,506.45, 560,964 and 234,431.67

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Solution

The fourth proportional to 406,506.45, 560,964 and 234,431.67 is: 323,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,506.45 : 560,964 = 234,431.67 : x
  2. Step 2: Convert to fraction form
    406,506.45/560,964 = 234,431.67/x
  3. Step 3: Cross multiply
    406,506.45x = 560,964 × 234,431.67
  4. Step 4: Simplify right side
    406,506.45x = 131,507,727,329.88
  5. Step 5: Solve for x
    x = 131,507,727,329.88/406,506.45
  6. Step 6: Final answer
    x = 323,507.11

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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.