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Finding the Fourth Proportional to 338,933.94, 507,781.26 and 158,688.69

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Solution

The fourth proportional to 338,933.94, 507,781.26 and 158,688.69 is: 237,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,933.94 : 507,781.26 = 158,688.69 : x
  2. Step 2: Convert to fraction form
    338,933.94/507,781.26 = 158,688.69/x
  3. Step 3: Cross multiply
    338,933.94x = 507,781.26 × 158,688.69
  4. Step 4: Simplify right side
    338,933.94x = 80,579,142,955.95
  5. Step 5: Solve for x
    x = 80,579,142,955.95/338,933.94
  6. Step 6: Final answer
    x = 237,742.92

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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.