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Finding the Fourth Proportional to 402,012.24, 602,926.26 and 239,952

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Solution

The fourth proportional to 402,012.24, 602,926.26 and 239,952 is: 359,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,012.24 : 602,926.26 = 239,952 : x
  2. Step 2: Convert to fraction form
    402,012.24/602,926.26 = 239,952/x
  3. Step 3: Cross multiply
    402,012.24x = 602,926.26 × 239,952
  4. Step 4: Simplify right side
    402,012.24x = 144,673,361,939.52
  5. Step 5: Solve for x
    x = 144,673,361,939.52/402,012.24
  6. Step 6: Final answer
    x = 359,873.03

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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.