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Finding the Fourth Proportional to 509,824.79, 703,706.10 and 316,291.49

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Solution

The fourth proportional to 509,824.79, 703,706.10 and 316,291.49 is: 436,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,824.79 : 703,706.10 = 316,291.49 : x
  2. Step 2: Convert to fraction form
    509,824.79/703,706.10 = 316,291.49/x
  3. Step 3: Cross multiply
    509,824.79x = 703,706.10 × 316,291.49
  4. Step 4: Simplify right side
    509,824.79x = 222,576,250,891.09
  5. Step 5: Solve for x
    x = 222,576,250,891.09/509,824.79
  6. Step 6: Final answer
    x = 436,574.01

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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.