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Finding the Fourth Proportional to 497,317, 745,090.96 and 286,519.36

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Solution

The fourth proportional to 497,317, 745,090.96 and 286,519.36 is: 429,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,317 : 745,090.96 = 286,519.36 : x
  2. Step 2: Convert to fraction form
    497,317/745,090.96 = 286,519.36/x
  3. Step 3: Cross multiply
    497,317x = 745,090.96 × 286,519.36
  4. Step 4: Simplify right side
    497,317x = 213,482,985,000.99
  5. Step 5: Solve for x
    x = 213,482,985,000.99/497,317
  6. Step 6: Final answer
    x = 429,269.43

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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.