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Finding the Fourth Proportional to 312,706.80, 431,535.75 and 169,466.84

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Solution

The fourth proportional to 312,706.80, 431,535.75 and 169,466.84 is: 233,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,706.80 : 431,535.75 = 169,466.84 : x
  2. Step 2: Convert to fraction form
    312,706.80/431,535.75 = 169,466.84/x
  3. Step 3: Cross multiply
    312,706.80x = 431,535.75 × 169,466.84
  4. Step 4: Simplify right side
    312,706.80x = 73,130,999,899.53
  5. Step 5: Solve for x
    x = 73,130,999,899.53/312,706.80
  6. Step 6: Final answer
    x = 233,864.44

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1.5x scale

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.