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Finding the Fourth Proportional to 255,915.59, 353,276.75 and 165,315.72

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Solution

The fourth proportional to 255,915.59, 353,276.75 and 165,315.72 is: 228,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,915.59 : 353,276.75 = 165,315.72 : x
  2. Step 2: Convert to fraction form
    255,915.59/353,276.75 = 165,315.72/x
  3. Step 3: Cross multiply
    255,915.59x = 353,276.75 × 165,315.72
  4. Step 4: Simplify right side
    255,915.59x = 58,402,200,285.51
  5. Step 5: Solve for x
    x = 58,402,200,285.51/255,915.59
  6. Step 6: Final answer
    x = 228,208.84

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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.