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Finding the Fourth Proportional to 315,422.40, 472,837.05 and 155,436.60

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Solution

The fourth proportional to 315,422.40, 472,837.05 and 155,436.60 is: 233,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422.40 : 472,837.05 = 155,436.60 : x
  2. Step 2: Convert to fraction form
    315,422.40/472,837.05 = 155,436.60/x
  3. Step 3: Cross multiply
    315,422.40x = 472,837.05 × 155,436.60
  4. Step 4: Simplify right side
    315,422.40x = 73,496,183,406.03
  5. Step 5: Solve for x
    x = 73,496,183,406.03/315,422.40
  6. Step 6: Final answer
    x = 233,008.76

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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.