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Finding the Fourth Proportional to 484,520.72, 668,259.24 and 314,810

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Solution

The fourth proportional to 484,520.72, 668,259.24 and 314,810 is: 434,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,520.72 : 668,259.24 = 314,810 : x
  2. Step 2: Convert to fraction form
    484,520.72/668,259.24 = 314,810/x
  3. Step 3: Cross multiply
    484,520.72x = 668,259.24 × 314,810
  4. Step 4: Simplify right side
    484,520.72x = 210,374,691,344.40
  5. Step 5: Solve for x
    x = 210,374,691,344.40/484,520.72
  6. Step 6: Final answer
    x = 434,191.32

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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.