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Finding the Fourth Proportional to 538,139.07, 807,209.61 and 505,256.15

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Solution

The fourth proportional to 538,139.07, 807,209.61 and 505,256.15 is: 757,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,139.07 : 807,209.61 = 505,256.15 : x
  2. Step 2: Convert to fraction form
    538,139.07/807,209.61 = 505,256.15/x
  3. Step 3: Cross multiply
    538,139.07x = 807,209.61 × 505,256.15
  4. Step 4: Simplify right side
    538,139.07x = 407,847,621,809.63
  5. Step 5: Solve for x
    x = 407,847,621,809.63/538,139.07
  6. Step 6: Final answer
    x = 757,885.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.