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Finding the Fourth Proportional to 523,276.56, 721,915.57 and 302,367.89

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Solution

The fourth proportional to 523,276.56, 721,915.57 and 302,367.89 is: 417,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,276.56 : 721,915.57 = 302,367.89 : x
  2. Step 2: Convert to fraction form
    523,276.56/721,915.57 = 302,367.89/x
  3. Step 3: Cross multiply
    523,276.56x = 721,915.57 × 302,367.89
  4. Step 4: Simplify right side
    523,276.56x = 218,284,085,781.02
  5. Step 5: Solve for x
    x = 218,284,085,781.02/523,276.56
  6. Step 6: Final answer
    x = 417,148.60

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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.