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Finding the Fourth Proportional to 338,085.43, 507,212.39 and 101,432.47

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Solution

The fourth proportional to 338,085.43, 507,212.39 and 101,432.47 is: 152,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,085.43 : 507,212.39 = 101,432.47 : x
  2. Step 2: Convert to fraction form
    338,085.43/507,212.39 = 101,432.47/x
  3. Step 3: Cross multiply
    338,085.43x = 507,212.39 × 101,432.47
  4. Step 4: Simplify right side
    338,085.43x = 51,447,805,532.30
  5. Step 5: Solve for x
    x = 51,447,805,532.30/338,085.43
  6. Step 6: Final answer
    x = 152,173.98

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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.