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Finding the Fourth Proportional to 315,203.60, 472,805.40 and 308,982.80

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Solution

The fourth proportional to 315,203.60, 472,805.40 and 308,982.80 is: 463,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,203.60 : 472,805.40 = 308,982.80 : x
  2. Step 2: Convert to fraction form
    315,203.60/472,805.40 = 308,982.80/x
  3. Step 3: Cross multiply
    315,203.60x = 472,805.40 × 308,982.80
  4. Step 4: Simplify right side
    315,203.60x = 146,088,736,347.12
  5. Step 5: Solve for x
    x = 146,088,736,347.12/315,203.60
  6. Step 6: Final answer
    x = 463,474.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.