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Finding the Fourth Proportional to 338,934.94, 507,782.76 and 158,689.69

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Solution

The fourth proportional to 338,934.94, 507,782.76 and 158,689.69 is: 237,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,934.94 : 507,782.76 = 158,689.69 : x
  2. Step 2: Convert to fraction form
    338,934.94/507,782.76 = 158,689.69/x
  3. Step 3: Cross multiply
    338,934.94x = 507,782.76 × 158,689.69
  4. Step 4: Simplify right side
    338,934.94x = 80,579,888,771.74
  5. Step 5: Solve for x
    x = 80,579,888,771.74/338,934.94
  6. Step 6: Final answer
    x = 237,744.41

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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.