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Finding the Fourth Proportional to 257,901.12, 355,936.32 and 144,760.32

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Solution

The fourth proportional to 257,901.12, 355,936.32 and 144,760.32 is: 199,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,901.12 : 355,936.32 = 144,760.32 : x
  2. Step 2: Convert to fraction form
    257,901.12/355,936.32 = 144,760.32/x
  3. Step 3: Cross multiply
    257,901.12x = 355,936.32 × 144,760.32
  4. Step 4: Simplify right side
    257,901.12x = 51,525,455,582.82
  5. Step 5: Solve for x
    x = 51,525,455,582.82/257,901.12
  6. Step 6: Final answer
    x = 199,787.64

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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.