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Finding the Fourth Proportional to 509,358.49, 702,918.89 and 318,482.53

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Solution

The fourth proportional to 509,358.49, 702,918.89 and 318,482.53 is: 439,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,358.49 : 702,918.89 = 318,482.53 : x
  2. Step 2: Convert to fraction form
    509,358.49/702,918.89 = 318,482.53/x
  3. Step 3: Cross multiply
    509,358.49x = 702,918.89 × 318,482.53
  4. Step 4: Simplify right side
    509,358.49x = 223,867,384,879.58
  5. Step 5: Solve for x
    x = 223,867,384,879.58/509,358.49
  6. Step 6: Final answer
    x = 439,508.50

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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.