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Finding the Fourth Proportional to 630,421.80, 945,719.10 and 209,653.80

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Solution

The fourth proportional to 630,421.80, 945,719.10 and 209,653.80 is: 314,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,421.80 : 945,719.10 = 209,653.80 : x
  2. Step 2: Convert to fraction form
    630,421.80/945,719.10 = 209,653.80/x
  3. Step 3: Cross multiply
    630,421.80x = 945,719.10 × 209,653.80
  4. Step 4: Simplify right side
    630,421.80x = 198,273,603,047.58
  5. Step 5: Solve for x
    x = 198,273,603,047.58/630,421.80
  6. Step 6: Final answer
    x = 314,509.43

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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.