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Finding the Fourth Proportional to 647,661.70, 971,492.55 and 512,359.30

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Solution

The fourth proportional to 647,661.70, 971,492.55 and 512,359.30 is: 768,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,661.70 : 971,492.55 = 512,359.30 : x
  2. Step 2: Convert to fraction form
    647,661.70/971,492.55 = 512,359.30/x
  3. Step 3: Cross multiply
    647,661.70x = 971,492.55 × 512,359.30
  4. Step 4: Simplify right side
    647,661.70x = 497,753,242,873.22
  5. Step 5: Solve for x
    x = 497,753,242,873.22/647,661.70
  6. Step 6: Final answer
    x = 768,538.95

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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.