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Finding the Fourth Proportional to 338,070, 506,915.40 and 231,574.20

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Solution

The fourth proportional to 338,070, 506,915.40 and 231,574.20 is: 347,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,070 : 506,915.40 = 231,574.20 : x
  2. Step 2: Convert to fraction form
    338,070/506,915.40 = 231,574.20/x
  3. Step 3: Cross multiply
    338,070x = 506,915.40 × 231,574.20
  4. Step 4: Simplify right side
    338,070x = 117,388,528,222.68
  5. Step 5: Solve for x
    x = 117,388,528,222.68/338,070
  6. Step 6: Final answer
    x = 347,231.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.