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Finding the Fourth Proportional to 299,130.72, 412,784.88 and 185,951.52

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Solution

The fourth proportional to 299,130.72, 412,784.88 and 185,951.52 is: 256,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,130.72 : 412,784.88 = 185,951.52 : x
  2. Step 2: Convert to fraction form
    299,130.72/412,784.88 = 185,951.52/x
  3. Step 3: Cross multiply
    299,130.72x = 412,784.88 × 185,951.52
  4. Step 4: Simplify right side
    299,130.72x = 76,757,975,869.02
  5. Step 5: Solve for x
    x = 76,757,975,869.02/299,130.72
  6. Step 6: Final answer
    x = 256,603.45

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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.