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Finding the Fourth Proportional to 315,070.24, 472,467.12 and 117,940

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Solution

The fourth proportional to 315,070.24, 472,467.12 and 117,940 is: 176,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,070.24 : 472,467.12 = 117,940 : x
  2. Step 2: Convert to fraction form
    315,070.24/472,467.12 = 117,940/x
  3. Step 3: Cross multiply
    315,070.24x = 472,467.12 × 117,940
  4. Step 4: Simplify right side
    315,070.24x = 55,722,772,132.80
  5. Step 5: Solve for x
    x = 55,722,772,132.80/315,070.24
  6. Step 6: Final answer
    x = 176,858.25

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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.