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Finding the Fourth Proportional to 307,950.13, 421,884.64 and 296,436.77

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Solution

The fourth proportional to 307,950.13, 421,884.64 and 296,436.77 is: 406,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,950.13 : 421,884.64 = 296,436.77 : x
  2. Step 2: Convert to fraction form
    307,950.13/421,884.64 = 296,436.77/x
  3. Step 3: Cross multiply
    307,950.13x = 421,884.64 × 296,436.77
  4. Step 4: Simplify right side
    307,950.13x = 125,062,117,457.32
  5. Step 5: Solve for x
    x = 125,062,117,457.32/307,950.13
  6. Step 6: Final answer
    x = 406,111.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.