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Finding the Fourth Proportional to 315,395.76, 435,242.52 and 172,154.64

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Solution

The fourth proportional to 315,395.76, 435,242.52 and 172,154.64 is: 237,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,395.76 : 435,242.52 = 172,154.64 : x
  2. Step 2: Convert to fraction form
    315,395.76/435,242.52 = 172,154.64/x
  3. Step 3: Cross multiply
    315,395.76x = 435,242.52 × 172,154.64
  4. Step 4: Simplify right side
    315,395.76x = 74,929,019,343.29
  5. Step 5: Solve for x
    x = 74,929,019,343.29/315,395.76
  6. Step 6: Final answer
    x = 237,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.