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Finding the Fourth Proportional to 218,709.79, 328,064.69 and 52,497.79

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Solution

The fourth proportional to 218,709.79, 328,064.69 and 52,497.79 is: 78,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.79 : 328,064.69 = 52,497.79 : x
  2. Step 2: Convert to fraction form
    218,709.79/328,064.69 = 52,497.79/x
  3. Step 3: Cross multiply
    218,709.79x = 328,064.69 × 52,497.79
  4. Step 4: Simplify right side
    218,709.79x = 17,222,671,202.04
  5. Step 5: Solve for x
    x = 17,222,671,202.04/218,709.79
  6. Step 6: Final answer
    x = 78,746.69

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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.