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Finding the Fourth Proportional to 468,048.70, 702,073.05 and 408,999.70

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Solution

The fourth proportional to 468,048.70, 702,073.05 and 408,999.70 is: 613,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,048.70 : 702,073.05 = 408,999.70 : x
  2. Step 2: Convert to fraction form
    468,048.70/702,073.05 = 408,999.70/x
  3. Step 3: Cross multiply
    468,048.70x = 702,073.05 × 408,999.70
  4. Step 4: Simplify right side
    468,048.70x = 287,147,666,828.09
  5. Step 5: Solve for x
    x = 287,147,666,828.09/468,048.70
  6. Step 6: Final answer
    x = 613,499.55

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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.