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Finding the Fourth Proportional to 228,428.07, 314,928.72 and 187,442.07

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Solution

The fourth proportional to 228,428.07, 314,928.72 and 187,442.07 is: 258,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,428.07 : 314,928.72 = 187,442.07 : x
  2. Step 2: Convert to fraction form
    228,428.07/314,928.72 = 187,442.07/x
  3. Step 3: Cross multiply
    228,428.07x = 314,928.72 × 187,442.07
  4. Step 4: Simplify right side
    228,428.07x = 59,030,891,179.25
  5. Step 5: Solve for x
    x = 59,030,891,179.25/228,428.07
  6. Step 6: Final answer
    x = 258,422.23

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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.