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Finding the Fourth Proportional to 257,555.76, 355,407.60 and 144,356.64

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Solution

The fourth proportional to 257,555.76, 355,407.60 and 144,356.64 is: 199,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,555.76 : 355,407.60 = 144,356.64 : x
  2. Step 2: Convert to fraction form
    257,555.76/355,407.60 = 144,356.64/x
  3. Step 3: Cross multiply
    257,555.76x = 355,407.60 × 144,356.64
  4. Step 4: Simplify right side
    257,555.76x = 51,305,446,966.46
  5. Step 5: Solve for x
    x = 51,305,446,966.46/257,555.76
  6. Step 6: Final answer
    x = 199,201.32

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1.5x scale

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.