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Finding the Fourth Proportional to 413,689.65, 570,916.10 and 311,534.88

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Solution

The fourth proportional to 413,689.65, 570,916.10 and 311,534.88 is: 429,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,689.65 : 570,916.10 = 311,534.88 : x
  2. Step 2: Convert to fraction form
    413,689.65/570,916.10 = 311,534.88/x
  3. Step 3: Cross multiply
    413,689.65x = 570,916.10 × 311,534.88
  4. Step 4: Simplify right side
    413,689.65x = 177,860,275,589.09
  5. Step 5: Solve for x
    x = 177,860,275,589.09/413,689.65
  6. Step 6: Final answer
    x = 429,936.49

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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.