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Finding the Fourth Proportional to 315,064.80, 472,904.40 and 157,471.20

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Solution

The fourth proportional to 315,064.80, 472,904.40 and 157,471.20 is: 236,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064.80 : 472,904.40 = 157,471.20 : x
  2. Step 2: Convert to fraction form
    315,064.80/472,904.40 = 157,471.20/x
  3. Step 3: Cross multiply
    315,064.80x = 472,904.40 × 157,471.20
  4. Step 4: Simplify right side
    315,064.80x = 74,468,823,353.28
  5. Step 5: Solve for x
    x = 74,468,823,353.28/315,064.80
  6. Step 6: Final answer
    x = 236,360.34

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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.