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Finding the Fourth Proportional to 513,345.50, 769,959.41 and 134,302.81

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Solution

The fourth proportional to 513,345.50, 769,959.41 and 134,302.81 is: 201,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,345.50 : 769,959.41 = 134,302.81 : x
  2. Step 2: Convert to fraction form
    513,345.50/769,959.41 = 134,302.81/x
  3. Step 3: Cross multiply
    513,345.50x = 769,959.41 × 134,302.81
  4. Step 4: Simplify right side
    513,345.50x = 103,407,712,348.94
  5. Step 5: Solve for x
    x = 103,407,712,348.94/513,345.50
  6. Step 6: Final answer
    x = 201,438.82

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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.