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Finding the Fourth Proportional to 258,419.28, 388,212.12 and 153,307.44

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Solution

The fourth proportional to 258,419.28, 388,212.12 and 153,307.44 is: 230,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,419.28 : 388,212.12 = 153,307.44 : x
  2. Step 2: Convert to fraction form
    258,419.28/388,212.12 = 153,307.44/x
  3. Step 3: Cross multiply
    258,419.28x = 388,212.12 × 153,307.44
  4. Step 4: Simplify right side
    258,419.28x = 59,515,806,294.17
  5. Step 5: Solve for x
    x = 59,515,806,294.17/258,419.28
  6. Step 6: Final answer
    x = 230,307.14

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1.5x scale

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.