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Finding the Fourth Proportional to 630,400.80, 945,730.80 and 209,978.40

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Solution

The fourth proportional to 630,400.80, 945,730.80 and 209,978.40 is: 315,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,400.80 : 945,730.80 = 209,978.40 : x
  2. Step 2: Convert to fraction form
    630,400.80/945,730.80 = 209,978.40/x
  3. Step 3: Cross multiply
    630,400.80x = 945,730.80 × 209,978.40
  4. Step 4: Simplify right side
    630,400.80x = 198,583,040,214.72
  5. Step 5: Solve for x
    x = 198,583,040,214.72/630,400.80
  6. Step 6: Final answer
    x = 315,010.77

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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.