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Finding the Fourth Proportional to 512,915.84, 707,826.20 and 280,347.57

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Solution

The fourth proportional to 512,915.84, 707,826.20 and 280,347.57 is: 386,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,915.84 : 707,826.20 = 280,347.57 : x
  2. Step 2: Convert to fraction form
    512,915.84/707,826.20 = 280,347.57/x
  3. Step 3: Cross multiply
    512,915.84x = 707,826.20 × 280,347.57
  4. Step 4: Simplify right side
    512,915.84x = 198,437,351,613.20
  5. Step 5: Solve for x
    x = 198,437,351,613.20/512,915.84
  6. Step 6: Final answer
    x = 386,880.92

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1.5x scale

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.