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Finding the Fourth Proportional to 315,405.40, 472,801.92 and 125,810.68

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Solution

The fourth proportional to 315,405.40, 472,801.92 and 125,810.68 is: 188,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,405.40 : 472,801.92 = 125,810.68 : x
  2. Step 2: Convert to fraction form
    315,405.40/472,801.92 = 125,810.68/x
  3. Step 3: Cross multiply
    315,405.40x = 472,801.92 × 125,810.68
  4. Step 4: Simplify right side
    315,405.40x = 59,483,531,060.51
  5. Step 5: Solve for x
    x = 59,483,531,060.51/315,405.40
  6. Step 6: Final answer
    x = 188,593.89

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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.