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Finding the Fourth Proportional to 409,450.76, 565,163.70 and 258,648.20

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Solution

The fourth proportional to 409,450.76, 565,163.70 and 258,648.20 is: 357,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,450.76 : 565,163.70 = 258,648.20 : x
  2. Step 2: Convert to fraction form
    409,450.76/565,163.70 = 258,648.20/x
  3. Step 3: Cross multiply
    409,450.76x = 565,163.70 × 258,648.20
  4. Step 4: Simplify right side
    409,450.76x = 146,178,573,710.34
  5. Step 5: Solve for x
    x = 146,178,573,710.34/409,450.76
  6. Step 6: Final answer
    x = 357,011.36

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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.