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Finding the Fourth Proportional to 657,792, 986,844 and 214,560

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Solution

The fourth proportional to 657,792, 986,844 and 214,560 is: 321,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,792 : 986,844 = 214,560 : x
  2. Step 2: Convert to fraction form
    657,792/986,844 = 214,560/x
  3. Step 3: Cross multiply
    657,792x = 986,844 × 214,560
  4. Step 4: Simplify right side
    657,792x = 211,737,248,640
  5. Step 5: Solve for x
    x = 211,737,248,640/657,792
  6. Step 6: Final answer
    x = 321,890.88

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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.