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Finding the Fourth Proportional to 469,071.66, 647,317.26 and 254,217

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Solution

The fourth proportional to 469,071.66, 647,317.26 and 254,217 is: 350,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,071.66 : 647,317.26 = 254,217 : x
  2. Step 2: Convert to fraction form
    469,071.66/647,317.26 = 254,217/x
  3. Step 3: Cross multiply
    469,071.66x = 647,317.26 × 254,217
  4. Step 4: Simplify right side
    469,071.66x = 164,559,051,885.42
  5. Step 5: Solve for x
    x = 164,559,051,885.42/469,071.66
  6. Step 6: Final answer
    x = 350,818.58

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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.