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Finding the Fourth Proportional to 315,135.76, 435,047.94 and 243,354.64

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Solution

The fourth proportional to 315,135.76, 435,047.94 and 243,354.64 is: 335,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,135.76 : 435,047.94 = 243,354.64 : x
  2. Step 2: Convert to fraction form
    315,135.76/435,047.94 = 243,354.64/x
  3. Step 3: Cross multiply
    315,135.76x = 435,047.94 × 243,354.64
  4. Step 4: Simplify right side
    315,135.76x = 105,870,934,821.44
  5. Step 5: Solve for x
    x = 105,870,934,821.44/315,135.76
  6. Step 6: Final answer
    x = 335,953.42

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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.