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Finding the Fourth Proportional to 315,164.40, 472,811.40 and 104,953.20

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Solution

The fourth proportional to 315,164.40, 472,811.40 and 104,953.20 is: 157,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,164.40 : 472,811.40 = 104,953.20 : x
  2. Step 2: Convert to fraction form
    315,164.40/472,811.40 = 104,953.20/x
  3. Step 3: Cross multiply
    315,164.40x = 472,811.40 × 104,953.20
  4. Step 4: Simplify right side
    315,164.40x = 49,623,069,426.48
  5. Step 5: Solve for x
    x = 49,623,069,426.48/315,164.40
  6. Step 6: Final answer
    x = 157,451.38

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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.