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Finding the Fourth Proportional to 282,920.39, 424,116.93 and 194,215.67

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Solution

The fourth proportional to 282,920.39, 424,116.93 and 194,215.67 is: 291,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,920.39 : 424,116.93 = 194,215.67 : x
  2. Step 2: Convert to fraction form
    282,920.39/424,116.93 = 194,215.67/x
  3. Step 3: Cross multiply
    282,920.39x = 424,116.93 × 194,215.67
  4. Step 4: Simplify right side
    282,920.39x = 82,370,153,718.29
  5. Step 5: Solve for x
    x = 82,370,153,718.29/282,920.39
  6. Step 6: Final answer
    x = 291,142.51

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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.