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Finding the Fourth Proportional to 630,298.95, 945,456.65 and 209,574.82

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Solution

The fourth proportional to 630,298.95, 945,456.65 and 209,574.82 is: 314,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,298.95 : 945,456.65 = 209,574.82 : x
  2. Step 2: Convert to fraction form
    630,298.95/945,456.65 = 209,574.82/x
  3. Step 3: Cross multiply
    630,298.95x = 945,456.65 × 209,574.82
  4. Step 4: Simplify right side
    630,298.95x = 198,143,907,241.55
  5. Step 5: Solve for x
    x = 198,143,907,241.55/630,298.95
  6. Step 6: Final answer
    x = 314,364.96

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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.