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Finding the Fourth Proportional to 630,144, 945,216 and 614,280.96

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Solution

The fourth proportional to 630,144, 945,216 and 614,280.96 is: 921,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,144 : 945,216 = 614,280.96 : x
  2. Step 2: Convert to fraction form
    630,144/945,216 = 614,280.96/x
  3. Step 3: Cross multiply
    630,144x = 945,216 × 614,280.96
  4. Step 4: Simplify right side
    630,144x = 580,628,191,887.36
  5. Step 5: Solve for x
    x = 580,628,191,887.36/630,144
  6. Step 6: Final answer
    x = 921,421.44

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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.