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Finding the Fourth Proportional to 406,434.77, 560,880 and 225,158.45

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Solution

The fourth proportional to 406,434.77, 560,880 and 225,158.45 is: 310,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,434.77 : 560,880 = 225,158.45 : x
  2. Step 2: Convert to fraction form
    406,434.77/560,880 = 225,158.45/x
  3. Step 3: Cross multiply
    406,434.77x = 560,880 × 225,158.45
  4. Step 4: Simplify right side
    406,434.77x = 126,286,868,631.60
  5. Step 5: Solve for x
    x = 126,286,868,631.60/406,434.77
  6. Step 6: Final answer
    x = 310,718.67

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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.