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Finding the Fourth Proportional to 315,124.56, 472,444.53 and 163,158.72

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Solution

The fourth proportional to 315,124.56, 472,444.53 and 163,158.72 is: 244,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,124.56 : 472,444.53 = 163,158.72 : x
  2. Step 2: Convert to fraction form
    315,124.56/472,444.53 = 163,158.72/x
  3. Step 3: Cross multiply
    315,124.56x = 472,444.53 × 163,158.72
  4. Step 4: Simplify right side
    315,124.56x = 77,083,444,785.80
  5. Step 5: Solve for x
    x = 77,083,444,785.80/315,124.56
  6. Step 6: Final answer
    x = 244,612.62

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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.