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Finding the Fourth Proportional to 313,729.72, 470,331.72 and 218,681.08

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Solution

The fourth proportional to 313,729.72, 470,331.72 and 218,681.08 is: 327,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,729.72 : 470,331.72 = 218,681.08 : x
  2. Step 2: Convert to fraction form
    313,729.72/470,331.72 = 218,681.08/x
  3. Step 3: Cross multiply
    313,729.72x = 470,331.72 × 218,681.08
  4. Step 4: Simplify right side
    313,729.72x = 102,852,648,487.86
  5. Step 5: Solve for x
    x = 102,852,648,487.86/313,729.72
  6. Step 6: Final answer
    x = 327,838.40

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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.