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Finding the Fourth Proportional to 509,359.24, 702,919.92 and 318,483.28

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Solution

The fourth proportional to 509,359.24, 702,919.92 and 318,483.28 is: 439,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,359.24 : 702,919.92 = 318,483.28 : x
  2. Step 2: Convert to fraction form
    509,359.24/702,919.92 = 318,483.28/x
  3. Step 3: Cross multiply
    509,359.24x = 702,919.92 × 318,483.28
  4. Step 4: Simplify right side
    509,359.24x = 223,868,241,698.94
  5. Step 5: Solve for x
    x = 223,868,241,698.94/509,359.24
  6. Step 6: Final answer
    x = 439,509.53

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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.