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Finding the Fourth Proportional to 378,537, 567,901.50 and 141,880.36

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Solution

The fourth proportional to 378,537, 567,901.50 and 141,880.36 is: 212,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,537 : 567,901.50 = 141,880.36 : x
  2. Step 2: Convert to fraction form
    378,537/567,901.50 = 141,880.36/x
  3. Step 3: Cross multiply
    378,537x = 567,901.50 × 141,880.36
  4. Step 4: Simplify right side
    378,537x = 80,574,069,264.54
  5. Step 5: Solve for x
    x = 80,574,069,264.54/378,537
  6. Step 6: Final answer
    x = 212,856.52

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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.