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Finding the Fourth Proportional to 516,091.50, 712,208.70 and 289,737

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Solution

The fourth proportional to 516,091.50, 712,208.70 and 289,737 is: 399,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,091.50 : 712,208.70 = 289,737 : x
  2. Step 2: Convert to fraction form
    516,091.50/712,208.70 = 289,737/x
  3. Step 3: Cross multiply
    516,091.50x = 712,208.70 × 289,737
  4. Step 4: Simplify right side
    516,091.50x = 206,353,212,111.90
  5. Step 5: Solve for x
    x = 206,353,212,111.90/516,091.50
  6. Step 6: Final answer
    x = 399,838.42

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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.