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Finding the Fourth Proportional to 523,561.68, 722,495.34 and 319,953.06

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Solution

The fourth proportional to 523,561.68, 722,495.34 and 319,953.06 is: 441,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,561.68 : 722,495.34 = 319,953.06 : x
  2. Step 2: Convert to fraction form
    523,561.68/722,495.34 = 319,953.06/x
  3. Step 3: Cross multiply
    523,561.68x = 722,495.34 × 319,953.06
  4. Step 4: Simplify right side
    523,561.68x = 231,164,594,868.74
  5. Step 5: Solve for x
    x = 231,164,594,868.74/523,561.68
  6. Step 6: Final answer
    x = 441,523.14

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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.