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Finding the Fourth Proportional to 538,457.85, 743,074.76 and 308,996.87

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Solution

The fourth proportional to 538,457.85, 743,074.76 and 308,996.87 is: 426,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,457.85 : 743,074.76 = 308,996.87 : x
  2. Step 2: Convert to fraction form
    538,457.85/743,074.76 = 308,996.87/x
  3. Step 3: Cross multiply
    538,457.85x = 743,074.76 × 308,996.87
  4. Step 4: Simplify right side
    538,457.85x = 229,607,772,597.33
  5. Step 5: Solve for x
    x = 229,607,772,597.33/538,457.85
  6. Step 6: Final answer
    x = 426,417.35

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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.