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Finding the Fourth Proportional to 218,881.40, 328,322.10 and 145,009.40

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Solution

The fourth proportional to 218,881.40, 328,322.10 and 145,009.40 is: 217,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,881.40 : 328,322.10 = 145,009.40 : x
  2. Step 2: Convert to fraction form
    218,881.40/328,322.10 = 145,009.40/x
  3. Step 3: Cross multiply
    218,881.40x = 328,322.10 × 145,009.40
  4. Step 4: Simplify right side
    218,881.40x = 47,609,790,727.74
  5. Step 5: Solve for x
    x = 47,609,790,727.74/218,881.40
  6. Step 6: Final answer
    x = 217,514.10

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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.