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Finding the Fourth Proportional to 314,367.62, 433,827.37 and 171,128.74

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Solution

The fourth proportional to 314,367.62, 433,827.37 and 171,128.74 is: 236,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,367.62 : 433,827.37 = 171,128.74 : x
  2. Step 2: Convert to fraction form
    314,367.62/433,827.37 = 171,128.74/x
  3. Step 3: Cross multiply
    314,367.62x = 433,827.37 × 171,128.74
  4. Step 4: Simplify right side
    314,367.62x = 74,240,328,180.83
  5. Step 5: Solve for x
    x = 74,240,328,180.83/314,367.62
  6. Step 6: Final answer
    x = 236,157.68

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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.