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Finding the Fourth Proportional to 734,718.80, 1,102,078.20 and 314,814.80

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Solution

The fourth proportional to 734,718.80, 1,102,078.20 and 314,814.80 is: 472,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,718.80 : 1,102,078.20 = 314,814.80 : x
  2. Step 2: Convert to fraction form
    734,718.80/1,102,078.20 = 314,814.80/x
  3. Step 3: Cross multiply
    734,718.80x = 1,102,078.20 × 314,814.80
  4. Step 4: Simplify right side
    734,718.80x = 346,950,528,117.36
  5. Step 5: Solve for x
    x = 346,950,528,117.36/734,718.80
  6. Step 6: Final answer
    x = 472,222.20

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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.