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Finding the Fourth Proportional to 538,100.04, 742,578.02 and 311,876.76

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Solution

The fourth proportional to 538,100.04, 742,578.02 and 311,876.76 is: 430,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,100.04 : 742,578.02 = 311,876.76 : x
  2. Step 2: Convert to fraction form
    538,100.04/742,578.02 = 311,876.76/x
  3. Step 3: Cross multiply
    538,100.04x = 742,578.02 × 311,876.76
  4. Step 4: Simplify right side
    538,100.04x = 231,592,826,924.82
  5. Step 5: Solve for x
    x = 231,592,826,924.82/538,100.04
  6. Step 6: Final answer
    x = 430,389.91

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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.