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Finding the Fourth Proportional to 403,640, 557,040.48 and 224,792

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Solution

The fourth proportional to 403,640, 557,040.48 and 224,792 is: 310,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,640 : 557,040.48 = 224,792 : x
  2. Step 2: Convert to fraction form
    403,640/557,040.48 = 224,792/x
  3. Step 3: Cross multiply
    403,640x = 557,040.48 × 224,792
  4. Step 4: Simplify right side
    403,640x = 125,218,243,580.16
  5. Step 5: Solve for x
    x = 125,218,243,580.16/403,640
  6. Step 6: Final answer
    x = 310,222.58

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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.