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Finding the Fourth Proportional to 502,154.28, 692,970.54 and 272,709.96

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Solution

The fourth proportional to 502,154.28, 692,970.54 and 272,709.96 is: 376,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,154.28 : 692,970.54 = 272,709.96 : x
  2. Step 2: Convert to fraction form
    502,154.28/692,970.54 = 272,709.96/x
  3. Step 3: Cross multiply
    502,154.28x = 692,970.54 × 272,709.96
  4. Step 4: Simplify right side
    502,154.28x = 188,979,968,244.58
  5. Step 5: Solve for x
    x = 188,979,968,244.58/502,154.28
  6. Step 6: Final answer
    x = 376,338.46

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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.