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Finding the Fourth Proportional to 403,406.40, 603,797.40 and 314,176.80

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Solution

The fourth proportional to 403,406.40, 603,797.40 and 314,176.80 is: 470,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406.40 : 603,797.40 = 314,176.80 : x
  2. Step 2: Convert to fraction form
    403,406.40/603,797.40 = 314,176.80/x
  3. Step 3: Cross multiply
    403,406.40x = 603,797.40 × 314,176.80
  4. Step 4: Simplify right side
    403,406.40x = 189,699,134,980.32
  5. Step 5: Solve for x
    x = 189,699,134,980.32/403,406.40
  6. Step 6: Final answer
    x = 470,243.25

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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.