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Finding the Fourth Proportional to 897,696, 1,238,820.48 and 495,288

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Solution

The fourth proportional to 897,696, 1,238,820.48 and 495,288 is: 683,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,696 : 1,238,820.48 = 495,288 : x
  2. Step 2: Convert to fraction form
    897,696/1,238,820.48 = 495,288/x
  3. Step 3: Cross multiply
    897,696x = 1,238,820.48 × 495,288
  4. Step 4: Simplify right side
    897,696x = 613,572,917,898.24
  5. Step 5: Solve for x
    x = 613,572,917,898.24/897,696
  6. Step 6: Final answer
    x = 683,497.44

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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.