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Finding the Fourth Proportional to 312,810.42, 469,215.72 and 113,126.34

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Solution

The fourth proportional to 312,810.42, 469,215.72 and 113,126.34 is: 169,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,810.42 : 469,215.72 = 113,126.34 : x
  2. Step 2: Convert to fraction form
    312,810.42/469,215.72 = 113,126.34/x
  3. Step 3: Cross multiply
    312,810.42x = 469,215.72 × 113,126.34
  4. Step 4: Simplify right side
    312,810.42x = 53,080,657,074.06
  5. Step 5: Solve for x
    x = 53,080,657,074.06/312,810.42
  6. Step 6: Final answer
    x = 169,689.54

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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.