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Finding the Fourth Proportional to 642,393.66, 886,491.76 and 355,908

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Solution

The fourth proportional to 642,393.66, 886,491.76 and 355,908 is: 491,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,393.66 : 886,491.76 = 355,908 : x
  2. Step 2: Convert to fraction form
    642,393.66/886,491.76 = 355,908/x
  3. Step 3: Cross multiply
    642,393.66x = 886,491.76 × 355,908
  4. Step 4: Simplify right side
    642,393.66x = 315,509,509,318.08
  5. Step 5: Solve for x
    x = 315,509,509,318.08/642,393.66
  6. Step 6: Final answer
    x = 491,146.67

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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.