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Finding the Fourth Proportional to 649,915.86, 975,352.90 and 308,360.72

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Solution

The fourth proportional to 649,915.86, 975,352.90 and 308,360.72 is: 462,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,915.86 : 975,352.90 = 308,360.72 : x
  2. Step 2: Convert to fraction form
    649,915.86/975,352.90 = 308,360.72/x
  3. Step 3: Cross multiply
    649,915.86x = 975,352.90 × 308,360.72
  4. Step 4: Simplify right side
    649,915.86x = 300,760,522,498.09
  5. Step 5: Solve for x
    x = 300,760,522,498.09/649,915.86
  6. Step 6: Final answer
    x = 462,768.40

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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.