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Finding the Fourth Proportional to 514,124.82, 709,272.38 and 310,059.70

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Solution

The fourth proportional to 514,124.82, 709,272.38 and 310,059.70 is: 427,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,124.82 : 709,272.38 = 310,059.70 : x
  2. Step 2: Convert to fraction form
    514,124.82/709,272.38 = 310,059.70/x
  3. Step 3: Cross multiply
    514,124.82x = 709,272.38 × 310,059.70
  4. Step 4: Simplify right side
    514,124.82x = 219,916,780,363.05
  5. Step 5: Solve for x
    x = 219,916,780,363.05/514,124.82
  6. Step 6: Final answer
    x = 427,749.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.