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Finding the Fourth Proportional to 312,706.73, 431,535.66 and 169,466.77

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Solution

The fourth proportional to 312,706.73, 431,535.66 and 169,466.77 is: 233,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,706.73 : 431,535.66 = 169,466.77 : x
  2. Step 2: Convert to fraction form
    312,706.73/431,535.66 = 169,466.77/x
  3. Step 3: Cross multiply
    312,706.73x = 431,535.66 × 169,466.77
  4. Step 4: Simplify right side
    312,706.73x = 73,130,953,592.68
  5. Step 5: Solve for x
    x = 73,130,953,592.68/312,706.73
  6. Step 6: Final answer
    x = 233,864.34

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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.