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Finding the Fourth Proportional to 400,702.24, 553,013.24 and 255,513.36

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Solution

The fourth proportional to 400,702.24, 553,013.24 and 255,513.36 is: 352,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,702.24 : 553,013.24 = 255,513.36 : x
  2. Step 2: Convert to fraction form
    400,702.24/553,013.24 = 255,513.36/x
  3. Step 3: Cross multiply
    400,702.24x = 553,013.24 × 255,513.36
  4. Step 4: Simplify right side
    400,702.24x = 141,302,271,076.89
  5. Step 5: Solve for x
    x = 141,302,271,076.89/400,702.24
  6. Step 6: Final answer
    x = 352,636.59

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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.