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Finding the Fourth Proportional to 257,473.64, 355,328.20 and 144,303.68

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Solution

The fourth proportional to 257,473.64, 355,328.20 and 144,303.68 is: 199,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,473.64 : 355,328.20 = 144,303.68 : x
  2. Step 2: Convert to fraction form
    257,473.64/355,328.20 = 144,303.68/x
  3. Step 3: Cross multiply
    257,473.64x = 355,328.20 × 144,303.68
  4. Step 4: Simplify right side
    257,473.64x = 51,275,166,867.78
  5. Step 5: Solve for x
    x = 51,275,166,867.78/257,473.64
  6. Step 6: Final answer
    x = 199,147.25

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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.