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Finding the Fourth Proportional to 473,606.78, 709,913.94 and 220,678.74

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Solution

The fourth proportional to 473,606.78, 709,913.94 and 220,678.74 is: 330,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,606.78 : 709,913.94 = 220,678.74 : x
  2. Step 2: Convert to fraction form
    473,606.78/709,913.94 = 220,678.74/x
  3. Step 3: Cross multiply
    473,606.78x = 709,913.94 × 220,678.74
  4. Step 4: Simplify right side
    473,606.78x = 156,662,912,960.09
  5. Step 5: Solve for x
    x = 156,662,912,960.09/473,606.78
  6. Step 6: Final answer
    x = 330,786.89

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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.