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Finding the Fourth Proportional to 538,407.84, 807,410.66 and 178,512.69

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Solution

The fourth proportional to 538,407.84, 807,410.66 and 178,512.69 is: 267,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,407.84 : 807,410.66 = 178,512.69 : x
  2. Step 2: Convert to fraction form
    538,407.84/807,410.66 = 178,512.69/x
  3. Step 3: Cross multiply
    538,407.84x = 807,410.66 × 178,512.69
  4. Step 4: Simplify right side
    538,407.84x = 144,133,047,958.71
  5. Step 5: Solve for x
    x = 144,133,047,958.71/538,407.84
  6. Step 6: Final answer
    x = 267,702.36

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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.