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Finding the Fourth Proportional to 282,341, 423,511.50 and 85,349

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Solution

The fourth proportional to 282,341, 423,511.50 and 85,349 is: 128,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,341 : 423,511.50 = 85,349 : x
  2. Step 2: Convert to fraction form
    282,341/423,511.50 = 85,349/x
  3. Step 3: Cross multiply
    282,341x = 423,511.50 × 85,349
  4. Step 4: Simplify right side
    282,341x = 36,146,283,013.50
  5. Step 5: Solve for x
    x = 36,146,283,013.50/282,341
  6. Step 6: Final answer
    x = 128,023.50

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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.