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Finding the Fourth Proportional to 489,953, 733,646.47 and 320,941.64

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Solution

The fourth proportional to 489,953, 733,646.47 and 320,941.64 is: 480,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,953 : 733,646.47 = 320,941.64 : x
  2. Step 2: Convert to fraction form
    489,953/733,646.47 = 320,941.64/x
  3. Step 3: Cross multiply
    489,953x = 733,646.47 × 320,941.64
  4. Step 4: Simplify right side
    489,953x = 235,457,701,262.01
  5. Step 5: Solve for x
    x = 235,457,701,262.01/489,953
  6. Step 6: Final answer
    x = 480,572.02

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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.