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Finding the Fourth Proportional to 434,745.68, 651,155 and 334,165.20

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Solution

The fourth proportional to 434,745.68, 651,155 and 334,165.20 is: 500,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,745.68 : 651,155 = 334,165.20 : x
  2. Step 2: Convert to fraction form
    434,745.68/651,155 = 334,165.20/x
  3. Step 3: Cross multiply
    434,745.68x = 651,155 × 334,165.20
  4. Step 4: Simplify right side
    434,745.68x = 217,593,340,806
  5. Step 5: Solve for x
    x = 217,593,340,806/434,745.68
  6. Step 6: Final answer
    x = 500,507.19

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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.