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Finding the Fourth Proportional to 513,168.33, 708,160.06 and 286,834.89

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Solution

The fourth proportional to 513,168.33, 708,160.06 and 286,834.89 is: 395,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,168.33 : 708,160.06 = 286,834.89 : x
  2. Step 2: Convert to fraction form
    513,168.33/708,160.06 = 286,834.89/x
  3. Step 3: Cross multiply
    513,168.33x = 708,160.06 × 286,834.89
  4. Step 4: Simplify right side
    513,168.33x = 203,125,012,912.49
  5. Step 5: Solve for x
    x = 203,125,012,912.49/513,168.33
  6. Step 6: Final answer
    x = 395,825.31

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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.