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Finding the Fourth Proportional to 255,934.60, 353,303 and 165,334.72

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Solution

The fourth proportional to 255,934.60, 353,303 and 165,334.72 is: 228,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,934.60 : 353,303 = 165,334.72 : x
  2. Step 2: Convert to fraction form
    255,934.60/353,303 = 165,334.72/x
  3. Step 3: Cross multiply
    255,934.60x = 353,303 × 165,334.72
  4. Step 4: Simplify right side
    255,934.60x = 58,413,252,580.16
  5. Step 5: Solve for x
    x = 58,413,252,580.16/255,934.60
  6. Step 6: Final answer
    x = 228,235.07

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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.