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Finding the Fourth Proportional to 317,469.32, 438,127.32 and 209,852.72

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Solution

The fourth proportional to 317,469.32, 438,127.32 and 209,852.72 is: 289,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,469.32 : 438,127.32 = 209,852.72 : x
  2. Step 2: Convert to fraction form
    317,469.32/438,127.32 = 209,852.72/x
  3. Step 3: Cross multiply
    317,469.32x = 438,127.32 × 209,852.72
  4. Step 4: Simplify right side
    317,469.32x = 91,942,209,808.31
  5. Step 5: Solve for x
    x = 91,942,209,808.31/317,469.32
  6. Step 6: Final answer
    x = 289,609.75

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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.