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Finding the Fourth Proportional to 397,328.80, 596,684.40 and 210,704.80

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Solution

The fourth proportional to 397,328.80, 596,684.40 and 210,704.80 is: 316,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,328.80 : 596,684.40 = 210,704.80 : x
  2. Step 2: Convert to fraction form
    397,328.80/596,684.40 = 210,704.80/x
  3. Step 3: Cross multiply
    397,328.80x = 596,684.40 × 210,704.80
  4. Step 4: Simplify right side
    397,328.80x = 125,724,267,165.12
  5. Step 5: Solve for x
    x = 125,724,267,165.12/397,328.80
  6. Step 6: Final answer
    x = 316,423.75

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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.