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Finding the Fourth Proportional to 328,385.10, 492,541.20 and 269,117.40

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Solution

The fourth proportional to 328,385.10, 492,541.20 and 269,117.40 is: 403,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,385.10 : 492,541.20 = 269,117.40 : x
  2. Step 2: Convert to fraction form
    328,385.10/492,541.20 = 269,117.40/x
  3. Step 3: Cross multiply
    328,385.10x = 492,541.20 × 269,117.40
  4. Step 4: Simplify right side
    328,385.10x = 132,551,407,136.88
  5. Step 5: Solve for x
    x = 132,551,407,136.88/328,385.10
  6. Step 6: Final answer
    x = 403,646.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.