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Finding the Fourth Proportional to 514,212.84, 709,513.02 and 284,759.01

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Solution

The fourth proportional to 514,212.84, 709,513.02 and 284,759.01 is: 392,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,212.84 : 709,513.02 = 284,759.01 : x
  2. Step 2: Convert to fraction form
    514,212.84/709,513.02 = 284,759.01/x
  3. Step 3: Cross multiply
    514,212.84x = 709,513.02 × 284,759.01
  4. Step 4: Simplify right side
    514,212.84x = 202,040,225,157.31
  5. Step 5: Solve for x
    x = 202,040,225,157.31/514,212.84
  6. Step 6: Final answer
    x = 392,911.67

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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.