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Finding the Fourth Proportional to 523,677.52, 722,656.08 and 320,069.20

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Solution

The fourth proportional to 523,677.52, 722,656.08 and 320,069.20 is: 441,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,677.52 : 722,656.08 = 320,069.20 : x
  2. Step 2: Convert to fraction form
    523,677.52/722,656.08 = 320,069.20/x
  3. Step 3: Cross multiply
    523,677.52x = 722,656.08 × 320,069.20
  4. Step 4: Simplify right side
    523,677.52x = 231,299,953,400.74
  5. Step 5: Solve for x
    x = 231,299,953,400.74/523,677.52
  6. Step 6: Final answer
    x = 441,683.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.