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Finding the Fourth Proportional to 297,186.74, 409,809.36 and 254,308.12

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Solution

The fourth proportional to 297,186.74, 409,809.36 and 254,308.12 is: 350,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,186.74 : 409,809.36 = 254,308.12 : x
  2. Step 2: Convert to fraction form
    297,186.74/409,809.36 = 254,308.12/x
  3. Step 3: Cross multiply
    297,186.74x = 409,809.36 × 254,308.12
  4. Step 4: Simplify right side
    297,186.74x = 104,217,846,875.48
  5. Step 5: Solve for x
    x = 104,217,846,875.48/297,186.74
  6. Step 6: Final answer
    x = 350,681.35

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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.