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Finding the Fourth Proportional to 523,537.39, 722,461.56 and 319,928.92

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Solution

The fourth proportional to 523,537.39, 722,461.56 and 319,928.92 is: 441,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,537.39 : 722,461.56 = 319,928.92 : x
  2. Step 2: Convert to fraction form
    523,537.39/722,461.56 = 319,928.92/x
  3. Step 3: Cross multiply
    523,537.39x = 722,461.56 × 319,928.92
  4. Step 4: Simplify right side
    523,537.39x = 231,136,346,632.32
  5. Step 5: Solve for x
    x = 231,136,346,632.32/523,537.39
  6. Step 6: Final answer
    x = 441,489.66

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1.5x scale

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.