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Finding the Fourth Proportional to 458,320.78, 632,473.16 and 254,359.86

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Solution

The fourth proportional to 458,320.78, 632,473.16 and 254,359.86 is: 351,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,320.78 : 632,473.16 = 254,359.86 : x
  2. Step 2: Convert to fraction form
    458,320.78/632,473.16 = 254,359.86/x
  3. Step 3: Cross multiply
    458,320.78x = 632,473.16 × 254,359.86
  4. Step 4: Simplify right side
    458,320.78x = 160,875,784,431.36
  5. Step 5: Solve for x
    x = 160,875,784,431.36/458,320.78
  6. Step 6: Final answer
    x = 351,011.33

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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.