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Finding the Fourth Proportional to 438,031.62, 657,153.18 and 164,480.07

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Solution

The fourth proportional to 438,031.62, 657,153.18 and 164,480.07 is: 246,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,031.62 : 657,153.18 = 164,480.07 : x
  2. Step 2: Convert to fraction form
    438,031.62/657,153.18 = 164,480.07/x
  3. Step 3: Cross multiply
    438,031.62x = 657,153.18 × 164,480.07
  4. Step 4: Simplify right side
    438,031.62x = 108,088,601,047.12
  5. Step 5: Solve for x
    x = 108,088,601,047.12/438,031.62
  6. Step 6: Final answer
    x = 246,759.81

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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.