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Finding the Fourth Proportional to 894,696, 1,234,706.40 and 492,288

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Solution

The fourth proportional to 894,696, 1,234,706.40 and 492,288 is: 679,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,696 : 1,234,706.40 = 492,288 : x
  2. Step 2: Convert to fraction form
    894,696/1,234,706.40 = 492,288/x
  3. Step 3: Cross multiply
    894,696x = 1,234,706.40 × 492,288
  4. Step 4: Simplify right side
    894,696x = 607,831,144,243.20
  5. Step 5: Solve for x
    x = 607,831,144,243.20/894,696
  6. Step 6: Final answer
    x = 679,371.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.