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Finding the Fourth Proportional to 315,463.47, 435,323.11 and 172,195.83

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Solution

The fourth proportional to 315,463.47, 435,323.11 and 172,195.83 is: 237,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,463.47 : 435,323.11 = 172,195.83 : x
  2. Step 2: Convert to fraction form
    315,463.47/435,323.11 = 172,195.83/x
  3. Step 3: Cross multiply
    315,463.47x = 435,323.11 × 172,195.83
  4. Step 4: Simplify right side
    315,463.47x = 74,960,824,244.63
  5. Step 5: Solve for x
    x = 74,960,824,244.63/315,463.47
  6. Step 6: Final answer
    x = 237,621.25

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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.