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Finding the Fourth Proportional to 257,482.08, 355,324.80 and 144,304.80

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Solution

The fourth proportional to 257,482.08, 355,324.80 and 144,304.80 is: 199,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,482.08 : 355,324.80 = 144,304.80 : x
  2. Step 2: Convert to fraction form
    257,482.08/355,324.80 = 144,304.80/x
  3. Step 3: Cross multiply
    257,482.08x = 355,324.80 × 144,304.80
  4. Step 4: Simplify right side
    257,482.08x = 51,275,074,199.04
  5. Step 5: Solve for x
    x = 51,275,074,199.04/257,482.08
  6. Step 6: Final answer
    x = 199,140.36

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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.