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Finding the Fourth Proportional to 315,090.80, 472,943.40 and 157,497.20

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Solution

The fourth proportional to 315,090.80, 472,943.40 and 157,497.20 is: 236,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090.80 : 472,943.40 = 157,497.20 : x
  2. Step 2: Convert to fraction form
    315,090.80/472,943.40 = 157,497.20/x
  3. Step 3: Cross multiply
    315,090.80x = 472,943.40 × 157,497.20
  4. Step 4: Simplify right side
    315,090.80x = 74,487,261,258.48
  5. Step 5: Solve for x
    x = 74,487,261,258.48/315,090.80
  6. Step 6: Final answer
    x = 236,399.35

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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.