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Finding the Fourth Proportional to 506,003.59, 698,262.01 and 312,497.83

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Solution

The fourth proportional to 506,003.59, 698,262.01 and 312,497.83 is: 431,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,003.59 : 698,262.01 = 312,497.83 : x
  2. Step 2: Convert to fraction form
    506,003.59/698,262.01 = 312,497.83/x
  3. Step 3: Cross multiply
    506,003.59x = 698,262.01 × 312,497.83
  4. Step 4: Simplify right side
    506,003.59x = 218,205,362,896.44
  5. Step 5: Solve for x
    x = 218,205,362,896.44/506,003.59
  6. Step 6: Final answer
    x = 431,232.84

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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.