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Finding the Fourth Proportional to 406,121, 560,369.22 and 262,861.16

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Solution

The fourth proportional to 406,121, 560,369.22 and 262,861.16 is: 362,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,121 : 560,369.22 = 262,861.16 : x
  2. Step 2: Convert to fraction form
    406,121/560,369.22 = 262,861.16/x
  3. Step 3: Cross multiply
    406,121x = 560,369.22 × 262,861.16
  4. Step 4: Simplify right side
    406,121x = 147,299,303,197.50
  5. Step 5: Solve for x
    x = 147,299,303,197.50/406,121
  6. Step 6: Final answer
    x = 362,698.07

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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.