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Finding the Fourth Proportional to 647,492.35, 971,072.85 and 191,977.07

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Solution

The fourth proportional to 647,492.35, 971,072.85 and 191,977.07 is: 287,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,492.35 : 971,072.85 = 191,977.07 : x
  2. Step 2: Convert to fraction form
    647,492.35/971,072.85 = 191,977.07/x
  3. Step 3: Cross multiply
    647,492.35x = 971,072.85 × 191,977.07
  4. Step 4: Simplify right side
    647,492.35x = 186,423,723,647.15
  5. Step 5: Solve for x
    x = 186,423,723,647.15/647,492.35
  6. Step 6: Final answer
    x = 287,916.49

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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.