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Finding the Fourth Proportional to 406,457.88, 560,910.06 and 234,375

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Solution

The fourth proportional to 406,457.88, 560,910.06 and 234,375 is: 323,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,457.88 : 560,910.06 = 234,375 : x
  2. Step 2: Convert to fraction form
    406,457.88/560,910.06 = 234,375/x
  3. Step 3: Cross multiply
    406,457.88x = 560,910.06 × 234,375
  4. Step 4: Simplify right side
    406,457.88x = 131,463,295,312.50
  5. Step 5: Solve for x
    x = 131,463,295,312.50/406,457.88
  6. Step 6: Final answer
    x = 323,436.45

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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.