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Finding the Fourth Proportional to 257,583.84, 355,445.28 and 144,391.20

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Solution

The fourth proportional to 257,583.84, 355,445.28 and 144,391.20 is: 199,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,583.84 : 355,445.28 = 144,391.20 : x
  2. Step 2: Convert to fraction form
    257,583.84/355,445.28 = 144,391.20/x
  3. Step 3: Cross multiply
    257,583.84x = 355,445.28 × 144,391.20
  4. Step 4: Simplify right side
    257,583.84x = 51,323,170,513.54
  5. Step 5: Solve for x
    x = 51,323,170,513.54/257,583.84
  6. Step 6: Final answer
    x = 199,248.41

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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.