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Finding the Fourth Proportional to 257,281.60, 355,067.44 and 155,332.16

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Solution

The fourth proportional to 257,281.60, 355,067.44 and 155,332.16 is: 214,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,281.60 : 355,067.44 = 155,332.16 : x
  2. Step 2: Convert to fraction form
    257,281.60/355,067.44 = 155,332.16/x
  3. Step 3: Cross multiply
    257,281.60x = 355,067.44 × 155,332.16
  4. Step 4: Simplify right side
    257,281.60x = 55,153,392,400.87
  5. Step 5: Solve for x
    x = 55,153,392,400.87/257,281.60
  6. Step 6: Final answer
    x = 214,369.75

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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.