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Finding the Fourth Proportional to 409,752.40, 565,416.99 and 228,447.28

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Solution

The fourth proportional to 409,752.40, 565,416.99 and 228,447.28 is: 315,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,752.40 : 565,416.99 = 228,447.28 : x
  2. Step 2: Convert to fraction form
    409,752.40/565,416.99 = 228,447.28/x
  3. Step 3: Cross multiply
    409,752.40x = 565,416.99 × 228,447.28
  4. Step 4: Simplify right side
    409,752.40x = 129,167,973,431.29
  5. Step 5: Solve for x
    x = 129,167,973,431.29/409,752.40
  6. Step 6: Final answer
    x = 315,234.21

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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.