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Finding the Fourth Proportional to 538,703.04, 807,878.72 and 178,777.22

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Solution

The fourth proportional to 538,703.04, 807,878.72 and 178,777.22 is: 268,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,703.04 : 807,878.72 = 178,777.22 : x
  2. Step 2: Convert to fraction form
    538,703.04/807,878.72 = 178,777.22/x
  3. Step 3: Cross multiply
    538,703.04x = 807,878.72 × 178,777.22
  4. Step 4: Simplify right side
    538,703.04x = 144,430,306,725.48
  5. Step 5: Solve for x
    x = 144,430,306,725.48/538,703.04
  6. Step 6: Final answer
    x = 268,107.47

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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.