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Finding the Fourth Proportional to 315,463.44, 435,341.80 and 172,226.32

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Solution

The fourth proportional to 315,463.44, 435,341.80 and 172,226.32 is: 237,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,463.44 : 435,341.80 = 172,226.32 : x
  2. Step 2: Convert to fraction form
    315,463.44/435,341.80 = 172,226.32/x
  3. Step 3: Cross multiply
    315,463.44x = 435,341.80 × 172,226.32
  4. Step 4: Simplify right side
    315,463.44x = 74,977,316,156.18
  5. Step 5: Solve for x
    x = 74,977,316,156.18/315,463.44
  6. Step 6: Final answer
    x = 237,673.55

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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.