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Finding the Fourth Proportional to 408,952.82, 612,931.86 and 218,946.26

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Solution

The fourth proportional to 408,952.82, 612,931.86 and 218,946.26 is: 328,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,952.82 : 612,931.86 = 218,946.26 : x
  2. Step 2: Convert to fraction form
    408,952.82/612,931.86 = 218,946.26/x
  3. Step 3: Cross multiply
    408,952.82x = 612,931.86 × 218,946.26
  4. Step 4: Simplify right side
    408,952.82x = 134,199,138,381.84
  5. Step 5: Solve for x
    x = 134,199,138,381.84/408,952.82
  6. Step 6: Final answer
    x = 328,153.11

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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.