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Finding the Fourth Proportional to 315,419.20, 473,128.80 and 203,444.80

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Solution

The fourth proportional to 315,419.20, 473,128.80 and 203,444.80 is: 305,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,419.20 : 473,128.80 = 203,444.80 : x
  2. Step 2: Convert to fraction form
    315,419.20/473,128.80 = 203,444.80/x
  3. Step 3: Cross multiply
    315,419.20x = 473,128.80 × 203,444.80
  4. Step 4: Simplify right side
    315,419.20x = 96,255,594,090.24
  5. Step 5: Solve for x
    x = 96,255,594,090.24/315,419.20
  6. Step 6: Final answer
    x = 305,167.20

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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.