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Finding the Fourth Proportional to 658,114.40, 987,632.40 and 284,405.60

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Solution

The fourth proportional to 658,114.40, 987,632.40 and 284,405.60 is: 426,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,114.40 : 987,632.40 = 284,405.60 : x
  2. Step 2: Convert to fraction form
    658,114.40/987,632.40 = 284,405.60/x
  3. Step 3: Cross multiply
    658,114.40x = 987,632.40 × 284,405.60
  4. Step 4: Simplify right side
    658,114.40x = 280,888,185,301.44
  5. Step 5: Solve for x
    x = 280,888,185,301.44/658,114.40
  6. Step 6: Final answer
    x = 426,807.54

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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.