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Finding the Fourth Proportional to 315,978.40, 474,032.40 and 105,767.20

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Solution

The fourth proportional to 315,978.40, 474,032.40 and 105,767.20 is: 158,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,978.40 : 474,032.40 = 105,767.20 : x
  2. Step 2: Convert to fraction form
    315,978.40/474,032.40 = 105,767.20/x
  3. Step 3: Cross multiply
    315,978.40x = 474,032.40 × 105,767.20
  4. Step 4: Simplify right side
    315,978.40x = 50,137,079,657.28
  5. Step 5: Solve for x
    x = 50,137,079,657.28/315,978.40
  6. Step 6: Final answer
    x = 158,672.49

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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.