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Finding the Fourth Proportional to 642,065.42, 963,366.93 and 282,050.57

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Solution

The fourth proportional to 642,065.42, 963,366.93 and 282,050.57 is: 423,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,065.42 : 963,366.93 = 282,050.57 : x
  2. Step 2: Convert to fraction form
    642,065.42/963,366.93 = 282,050.57/x
  3. Step 3: Cross multiply
    642,065.42x = 963,366.93 × 282,050.57
  4. Step 4: Simplify right side
    642,065.42x = 271,718,191,725.65
  5. Step 5: Solve for x
    x = 271,718,191,725.65/642,065.42
  6. Step 6: Final answer
    x = 423,193.94

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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.