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Finding the Fourth Proportional to 642,063.15, 963,363.54 and 282,048.32

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Solution

The fourth proportional to 642,063.15, 963,363.54 and 282,048.32 is: 423,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,063.15 : 963,363.54 = 282,048.32 : x
  2. Step 2: Convert to fraction form
    642,063.15/963,363.54 = 282,048.32/x
  3. Step 3: Cross multiply
    642,063.15x = 963,363.54 × 282,048.32
  4. Step 4: Simplify right side
    642,063.15x = 271,715,068,006.25
  5. Step 5: Solve for x
    x = 271,715,068,006.25/642,063.15
  6. Step 6: Final answer
    x = 423,190.57

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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.