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Finding the Fourth Proportional to 545,667.50, 814,233.70 and 488,929.64

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Solution

The fourth proportional to 545,667.50, 814,233.70 and 488,929.64 is: 729,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,667.50 : 814,233.70 = 488,929.64 : x
  2. Step 2: Convert to fraction form
    545,667.50/814,233.70 = 488,929.64/x
  3. Step 3: Cross multiply
    545,667.50x = 814,233.70 × 488,929.64
  4. Step 4: Simplify right side
    545,667.50x = 398,102,986,356.86
  5. Step 5: Solve for x
    x = 398,102,986,356.86/545,667.50
  6. Step 6: Final answer
    x = 729,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.