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Finding the Fourth Proportional to 345,085.66, 517,711.41 and 108,428.16

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Solution

The fourth proportional to 345,085.66, 517,711.41 and 108,428.16 is: 162,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,085.66 : 517,711.41 = 108,428.16 : x
  2. Step 2: Convert to fraction form
    345,085.66/517,711.41 = 108,428.16/x
  3. Step 3: Cross multiply
    345,085.66x = 517,711.41 × 108,428.16
  4. Step 4: Simplify right side
    345,085.66x = 56,134,495,597.31
  5. Step 5: Solve for x
    x = 56,134,495,597.31/345,085.66
  6. Step 6: Final answer
    x = 162,668.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.