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Finding the Fourth Proportional to 487,106.51, 730,472.93 and 167,198.78

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Solution

The fourth proportional to 487,106.51, 730,472.93 and 167,198.78 is: 250,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,106.51 : 730,472.93 = 167,198.78 : x
  2. Step 2: Convert to fraction form
    487,106.51/730,472.93 = 167,198.78/x
  3. Step 3: Cross multiply
    487,106.51x = 730,472.93 × 167,198.78
  4. Step 4: Simplify right side
    487,106.51x = 122,134,178,230.67
  5. Step 5: Solve for x
    x = 122,134,178,230.67/487,106.51
  6. Step 6: Final answer
    x = 250,734.03

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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.