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Finding the Fourth Proportional to 403,368.40, 603,740.40 and 314,138.80

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Solution

The fourth proportional to 403,368.40, 603,740.40 and 314,138.80 is: 470,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,368.40 : 603,740.40 = 314,138.80 : x
  2. Step 2: Convert to fraction form
    403,368.40/603,740.40 = 314,138.80/x
  3. Step 3: Cross multiply
    403,368.40x = 603,740.40 × 314,138.80
  4. Step 4: Simplify right side
    403,368.40x = 189,658,284,767.52
  5. Step 5: Solve for x
    x = 189,658,284,767.52/403,368.40
  6. Step 6: Final answer
    x = 470,186.27

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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.