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Finding the Fourth Proportional to 315,214.40, 472,886.40 and 105,003.20

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Solution

The fourth proportional to 315,214.40, 472,886.40 and 105,003.20 is: 157,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214.40 : 472,886.40 = 105,003.20 : x
  2. Step 2: Convert to fraction form
    315,214.40/472,886.40 = 105,003.20/x
  3. Step 3: Cross multiply
    315,214.40x = 472,886.40 × 105,003.20
  4. Step 4: Simplify right side
    315,214.40x = 49,654,585,236.48
  5. Step 5: Solve for x
    x = 49,654,585,236.48/315,214.40
  6. Step 6: Final answer
    x = 157,526.39

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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.