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Finding the Fourth Proportional to 315,137.85, 472,312.58 and 157,410.33

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Solution

The fourth proportional to 315,137.85, 472,312.58 and 157,410.33 is: 235,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,137.85 : 472,312.58 = 157,410.33 : x
  2. Step 2: Convert to fraction form
    315,137.85/472,312.58 = 157,410.33/x
  3. Step 3: Cross multiply
    315,137.85x = 472,312.58 × 157,410.33
  4. Step 4: Simplify right side
    315,137.85x = 74,346,878,293.90
  5. Step 5: Solve for x
    x = 74,346,878,293.90/315,137.85
  6. Step 6: Final answer
    x = 235,918.59

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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.