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Finding the Fourth Proportional to 492,172.70, 738,259.05 and 413,440.70

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Solution

The fourth proportional to 492,172.70, 738,259.05 and 413,440.70 is: 620,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,172.70 : 738,259.05 = 413,440.70 : x
  2. Step 2: Convert to fraction form
    492,172.70/738,259.05 = 413,440.70/x
  3. Step 3: Cross multiply
    492,172.70x = 738,259.05 × 413,440.70
  4. Step 4: Simplify right side
    492,172.70x = 305,226,338,413.34
  5. Step 5: Solve for x
    x = 305,226,338,413.34/492,172.70
  6. Step 6: Final answer
    x = 620,161.05

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1.5x scale

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.