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Finding the Fourth Proportional to 523,262.88, 720,727.20 and 402,172.56

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Solution

The fourth proportional to 523,262.88, 720,727.20 and 402,172.56 is: 553,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,262.88 : 720,727.20 = 402,172.56 : x
  2. Step 2: Convert to fraction form
    523,262.88/720,727.20 = 402,172.56/x
  3. Step 3: Cross multiply
    523,262.88x = 720,727.20 × 402,172.56
  4. Step 4: Simplify right side
    523,262.88x = 289,856,703,085.63
  5. Step 5: Solve for x
    x = 289,856,703,085.63/523,262.88
  6. Step 6: Final answer
    x = 553,940.89

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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.