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Finding the Fourth Proportional to 315,963.85, 473,526.58 and 138,277.39

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Solution

The fourth proportional to 315,963.85, 473,526.58 and 138,277.39 is: 207,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,963.85 : 473,526.58 = 138,277.39 : x
  2. Step 2: Convert to fraction form
    315,963.85/473,526.58 = 138,277.39/x
  3. Step 3: Cross multiply
    315,963.85x = 473,526.58 × 138,277.39
  4. Step 4: Simplify right side
    315,963.85x = 65,478,019,578.03
  5. Step 5: Solve for x
    x = 65,478,019,578.03/315,963.85
  6. Step 6: Final answer
    x = 207,232.63

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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.