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Finding the Fourth Proportional to 338,532.84, 507,696.90 and 101,812.68

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Solution

The fourth proportional to 338,532.84, 507,696.90 and 101,812.68 is: 152,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,532.84 : 507,696.90 = 101,812.68 : x
  2. Step 2: Convert to fraction form
    338,532.84/507,696.90 = 101,812.68/x
  3. Step 3: Cross multiply
    338,532.84x = 507,696.90 × 101,812.68
  4. Step 4: Simplify right side
    338,532.84x = 51,689,982,016.69
  5. Step 5: Solve for x
    x = 51,689,982,016.69/338,532.84
  6. Step 6: Final answer
    x = 152,688.24

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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.