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Finding the Fourth Proportional to 542,007.40, 812,136.30 and 341,969.80

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Solution

The fourth proportional to 542,007.40, 812,136.30 and 341,969.80 is: 512,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,007.40 : 812,136.30 = 341,969.80 : x
  2. Step 2: Convert to fraction form
    542,007.40/812,136.30 = 341,969.80/x
  3. Step 3: Cross multiply
    542,007.40x = 812,136.30 × 341,969.80
  4. Step 4: Simplify right side
    542,007.40x = 277,726,088,083.74
  5. Step 5: Solve for x
    x = 277,726,088,083.74/542,007.40
  6. Step 6: Final answer
    x = 512,402.76

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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.