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Finding the Fourth Proportional to 524,603.73, 724,009.21 and 320,774.12

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Solution

The fourth proportional to 524,603.73, 724,009.21 and 320,774.12 is: 442,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,603.73 : 724,009.21 = 320,774.12 : x
  2. Step 2: Convert to fraction form
    524,603.73/724,009.21 = 320,774.12/x
  3. Step 3: Cross multiply
    524,603.73x = 724,009.21 × 320,774.12
  4. Step 4: Simplify right side
    524,603.73x = 232,243,412,787.66
  5. Step 5: Solve for x
    x = 232,243,412,787.66/524,603.73
  6. Step 6: Final answer
    x = 442,702.56

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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.