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Finding the Fourth Proportional to 407,809.70, 611,720.70 and 141,578.67

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Solution

The fourth proportional to 407,809.70, 611,720.70 and 141,578.67 is: 212,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,809.70 : 611,720.70 = 141,578.67 : x
  2. Step 2: Convert to fraction form
    407,809.70/611,720.70 = 141,578.67/x
  3. Step 3: Cross multiply
    407,809.70x = 611,720.70 × 141,578.67
  4. Step 4: Simplify right side
    407,809.70x = 86,606,603,117.47
  5. Step 5: Solve for x
    x = 86,606,603,117.47/407,809.70
  6. Step 6: Final answer
    x = 212,370.14

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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.