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Finding the Fourth Proportional to 469,595.88, 647,835.77 and 316,578.17

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Solution

The fourth proportional to 469,595.88, 647,835.77 and 316,578.17 is: 436,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,595.88 : 647,835.77 = 316,578.17 : x
  2. Step 2: Convert to fraction form
    469,595.88/647,835.77 = 316,578.17/x
  3. Step 3: Cross multiply
    469,595.88x = 647,835.77 × 316,578.17
  4. Step 4: Simplify right side
    469,595.88x = 205,090,664,938.18
  5. Step 5: Solve for x
    x = 205,090,664,938.18/469,595.88
  6. Step 6: Final answer
    x = 436,738.64

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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.