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Finding the Fourth Proportional to 409,941.72, 565,718.10 and 228,653.50

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Solution

The fourth proportional to 409,941.72, 565,718.10 and 228,653.50 is: 315,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,941.72 : 565,718.10 = 228,653.50 : x
  2. Step 2: Convert to fraction form
    409,941.72/565,718.10 = 228,653.50/x
  3. Step 3: Cross multiply
    409,941.72x = 565,718.10 × 228,653.50
  4. Step 4: Simplify right side
    409,941.72x = 129,353,423,578.35
  5. Step 5: Solve for x
    x = 129,353,423,578.35/409,941.72
  6. Step 6: Final answer
    x = 315,541.01

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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.