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Finding the Fourth Proportional to 338,738.68, 508,173.90 and 102,069.64

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Solution

The fourth proportional to 338,738.68, 508,173.90 and 102,069.64 is: 153,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,738.68 : 508,173.90 = 102,069.64 : x
  2. Step 2: Convert to fraction form
    338,738.68/508,173.90 = 102,069.64/x
  3. Step 3: Cross multiply
    338,738.68x = 508,173.90 × 102,069.64
  4. Step 4: Simplify right side
    338,738.68x = 51,869,127,030.40
  5. Step 5: Solve for x
    x = 51,869,127,030.40/338,738.68
  6. Step 6: Final answer
    x = 153,124.31

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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.