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Finding the Fourth Proportional to 506,915.32, 699,578.58 and 280,575.40

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Solution

The fourth proportional to 506,915.32, 699,578.58 and 280,575.40 is: 387,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,915.32 : 699,578.58 = 280,575.40 : x
  2. Step 2: Convert to fraction form
    506,915.32/699,578.58 = 280,575.40/x
  3. Step 3: Cross multiply
    506,915.32x = 699,578.58 × 280,575.40
  4. Step 4: Simplify right side
    506,915.32x = 196,284,539,914.93
  5. Step 5: Solve for x
    x = 196,284,539,914.93/506,915.32
  6. Step 6: Final answer
    x = 387,213.67

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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.