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Finding the Fourth Proportional to 409,852.79, 565,595.75 and 228,564.92

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Solution

The fourth proportional to 409,852.79, 565,595.75 and 228,564.92 is: 315,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852.79 : 565,595.75 = 228,564.92 : x
  2. Step 2: Convert to fraction form
    409,852.79/565,595.75 = 228,564.92/x
  3. Step 3: Cross multiply
    409,852.79x = 565,595.75 × 228,564.92
  4. Step 4: Simplify right side
    409,852.79x = 129,275,347,351.09
  5. Step 5: Solve for x
    x = 129,275,347,351.09/409,852.79
  6. Step 6: Final answer
    x = 315,418.98

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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.