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Finding the Fourth Proportional to 507,191.22, 699,915.33 and 280,831.86

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Solution

The fourth proportional to 507,191.22, 699,915.33 and 280,831.86 is: 387,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,191.22 : 699,915.33 = 280,831.86 : x
  2. Step 2: Convert to fraction form
    507,191.22/699,915.33 = 280,831.86/x
  3. Step 3: Cross multiply
    507,191.22x = 699,915.33 × 280,831.86
  4. Step 4: Simplify right side
    507,191.22x = 196,558,523,966.41
  5. Step 5: Solve for x
    x = 196,558,523,966.41/507,191.22
  6. Step 6: Final answer
    x = 387,543.23

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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.