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Finding the Fourth Proportional to 315,803.24, 473,721.27 and 157,978.39

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Solution

The fourth proportional to 315,803.24, 473,721.27 and 157,978.39 is: 236,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,803.24 : 473,721.27 = 157,978.39 : x
  2. Step 2: Convert to fraction form
    315,803.24/473,721.27 = 157,978.39/x
  3. Step 3: Cross multiply
    315,803.24x = 473,721.27 × 157,978.39
  4. Step 4: Simplify right side
    315,803.24x = 74,837,720,384.86
  5. Step 5: Solve for x
    x = 74,837,720,384.86/315,803.24
  6. Step 6: Final answer
    x = 236,975.78

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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.