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Finding the Fourth Proportional to 309,009.32, 463,686.21 and 166,851.59

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Solution

The fourth proportional to 309,009.32, 463,686.21 and 166,851.59 is: 250,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,009.32 : 463,686.21 = 166,851.59 : x
  2. Step 2: Convert to fraction form
    309,009.32/463,686.21 = 166,851.59/x
  3. Step 3: Cross multiply
    309,009.32x = 463,686.21 × 166,851.59
  4. Step 4: Simplify right side
    309,009.32x = 77,366,782,558.79
  5. Step 5: Solve for x
    x = 77,366,782,558.79/309,009.32
  6. Step 6: Final answer
    x = 250,370.38

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1.5x scale

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.