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Finding the Fourth Proportional to 509,048.96, 702,839.04 and 318,148.16

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Solution

The fourth proportional to 509,048.96, 702,839.04 and 318,148.16 is: 439,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,048.96 : 702,839.04 = 318,148.16 : x
  2. Step 2: Convert to fraction form
    509,048.96/702,839.04 = 318,148.16/x
  3. Step 3: Cross multiply
    509,048.96x = 702,839.04 × 318,148.16
  4. Step 4: Simplify right side
    509,048.96x = 223,606,947,352.17
  5. Step 5: Solve for x
    x = 223,606,947,352.17/509,048.96
  6. Step 6: Final answer
    x = 439,264.13

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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.