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Finding the Fourth Proportional to 523,710.16, 722,687.88 and 308,859.28

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Solution

The fourth proportional to 523,710.16, 722,687.88 and 308,859.28 is: 426,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,710.16 : 722,687.88 = 308,859.28 : x
  2. Step 2: Convert to fraction form
    523,710.16/722,687.88 = 308,859.28/x
  3. Step 3: Cross multiply
    523,710.16x = 722,687.88 × 308,859.28
  4. Step 4: Simplify right side
    523,710.16x = 223,208,858,281.53
  5. Step 5: Solve for x
    x = 223,208,858,281.53/523,710.16
  6. Step 6: Final answer
    x = 426,206.85

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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.