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Finding the Fourth Proportional to 409,551.96, 565,184.32 and 228,275.40

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Solution

The fourth proportional to 409,551.96, 565,184.32 and 228,275.40 is: 315,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,551.96 : 565,184.32 = 228,275.40 : x
  2. Step 2: Convert to fraction form
    409,551.96/565,184.32 = 228,275.40/x
  3. Step 3: Cross multiply
    409,551.96x = 565,184.32 × 228,275.40
  4. Step 4: Simplify right side
    409,551.96x = 129,017,678,270.48
  5. Step 5: Solve for x
    x = 129,017,678,270.48/409,551.96
  6. Step 6: Final answer
    x = 315,021.51

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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.