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Finding the Fourth Proportional to 897,750, 1,238,895 and 495,342

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Solution

The fourth proportional to 897,750, 1,238,895 and 495,342 is: 683,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,750 : 1,238,895 = 495,342 : x
  2. Step 2: Convert to fraction form
    897,750/1,238,895 = 495,342/x
  3. Step 3: Cross multiply
    897,750x = 1,238,895 × 495,342
  4. Step 4: Simplify right side
    897,750x = 613,676,727,090
  5. Step 5: Solve for x
    x = 613,676,727,090/897,750
  6. Step 6: Final answer
    x = 683,571.96

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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.