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Finding the Fourth Proportional to 509,359.74, 702,920.61 and 318,483.78

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Solution

The fourth proportional to 509,359.74, 702,920.61 and 318,483.78 is: 439,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,359.74 : 702,920.61 = 318,483.78 : x
  2. Step 2: Convert to fraction form
    509,359.74/702,920.61 = 318,483.78/x
  3. Step 3: Cross multiply
    509,359.74x = 702,920.61 × 318,483.78
  4. Step 4: Simplify right side
    509,359.74x = 223,868,812,912.71
  5. Step 5: Solve for x
    x = 223,868,812,912.71/509,359.74
  6. Step 6: Final answer
    x = 439,510.22

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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.