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Finding the Fourth Proportional to 291,427.84, 436,509.01 and 141,352.71

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Solution

The fourth proportional to 291,427.84, 436,509.01 and 141,352.71 is: 211,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,427.84 : 436,509.01 = 141,352.71 : x
  2. Step 2: Convert to fraction form
    291,427.84/436,509.01 = 141,352.71/x
  3. Step 3: Cross multiply
    291,427.84x = 436,509.01 × 141,352.71
  4. Step 4: Simplify right side
    291,427.84x = 61,701,731,149.54
  5. Step 5: Solve for x
    x = 61,701,731,149.54/291,427.84
  6. Step 6: Final answer
    x = 211,722.16

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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.