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Finding the Fourth Proportional to 492,308.24, 679,386 and 265,953.72

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Solution

The fourth proportional to 492,308.24, 679,386 and 265,953.72 is: 367,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,308.24 : 679,386 = 265,953.72 : x
  2. Step 2: Convert to fraction form
    492,308.24/679,386 = 265,953.72/x
  3. Step 3: Cross multiply
    492,308.24x = 679,386 × 265,953.72
  4. Step 4: Simplify right side
    492,308.24x = 180,685,234,015.92
  5. Step 5: Solve for x
    x = 180,685,234,015.92/492,308.24
  6. Step 6: Final answer
    x = 367,016.47

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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.